201492465239700 has 216 divisors, whose sum is σ = 647172501251640. Its totient is φ = 52404478156800.

The previous prime is 201492465239699. The next prime is 201492465239719. The reversal of 201492465239700 is 7932564294102.

It is a happy number.

201492465239700 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 9 + 2 + 46 + 523 + 9 + 70 + 0 = 666.

201492465239700 is digitally balanced in base 3, 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 12 ways, for example, as 58745694601476 + 142746770638224 = 7664574^2 + 11947668^2 .

It is a super-3 number, since 3×201492465239700³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117858606 + ... + 119555994.

Almost surely, 2^{201492465239700} is an apocalyptic number.

201492465239700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201492465239700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323586250625820).

201492465239700 is an abundant number, since it is smaller than the sum of its proper divisors (445680036011940).

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

201492465239700 is a wasteful number, since it uses less digits than its factorization.

201492465239700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700667 (or 1700657 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 201492465239700 in words is "two hundred one trillion, four hundred ninety-two billion, four hundred sixty-five million, two hundred thirty-nine thousand, seven hundred".