201292206336 has 243 divisors, whose sum is σ = 629328743589. Its totient is φ = 61849921536.

The previous prime is 201292206329. The next prime is 201292206341. The reversal of 201292206336 is 633602292102.

It is a happy number.

The square root of 201292206336 is 448656.

It is a perfect power (a square), and thus also a powerful number.

201292206336 is a `hidden beast` number, since 2 + 0 + 12 + 9 + 2 + 2 + 0 + 633 + 6 = 666.

201292206336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 29776953600 + 171515252736 = 172560^2 + 414144^2 .

It is a super-2 number, since 2×201292206336² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 201292206336.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 279960985 + ... + 279961703.

Almost surely, 2^201292206336 is an apocalyptic number.

201292206336 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

201292206336 is the 448656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201292206336

201292206336 is an abundant number, since it is smaller than the sum of its proper divisors (428036537253).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201292206336 is an frugal number, since it uses more digits than its factorization.

201292206336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Multiplying 201292206336 by its sum of digits (36), we get a square (7246519428096 = 2691936²).

201292206336 divided by its sum of digits (36) gives a square (5591450176 = 74776²).

Adding to 201292206336 its reverse (633602292102), we get a palindrome (834894498438).

The spelling of 201292206336 in words is "two hundred one billion, two hundred ninety-two million, two hundred six thousand, three hundred thirty-six".