213636235264 has 135 divisors (see below), whose sum is σ = 449506585857. Its totient is φ = 101523062784.

The previous prime is 213636235261. The next prime is 213636235271. The reversal of 213636235264 is 462532636312.

The square root of 213636235264 is 462208.

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

It can be written as a sum of positive squares in only one way, i.e., 62620057600 + 151016177664 = 250240^2 + 388608^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 213636235264.

It is not an unprimeable number, because it can be changed into a prime (213636235261) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1360740274 + ... + 1360740430.

Almost surely, 2^213636235264 is an apocalyptic number.

213636235264 is the 462208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213636235264

213636235264 is an abundant number, since it is smaller than the sum of its proper divisors (235870350593).

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

213636235264 is an frugal number, since it uses more digits than its factorization.

213636235264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 182 counting only the distinct ones).

The product of its digits is 933120, while the sum is 43.

It can be divided in two parts, 213636 and 235264, that added together give a square (448900 = 670²).

The spelling of 213636235264 in words is "two hundred thirteen billion, six hundred thirty-six million, two hundred thirty-five thousand, two hundred sixty-four".