202112434656 has 96 divisors (see below), whose sum is σ = 643085049600. Its totient is φ = 61246189440.

The previous prime is 202112434609. The next prime is 202112434663. The reversal of 202112434656 is 656434211202.

202112434656 is a `hidden beast` number, since 2 + 0 + 211 + 2 + 434 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 202112434656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10623516 + ... + 10642523.

It is an arithmetic number, because the mean of its divisors is an integer number (6698802600).

Almost surely, 2^202112434656 is an apocalyptic number.

It is an amenable number.

202112434656 is an abundant number, since it is smaller than the sum of its proper divisors (440972614944).

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

202112434656 is a wasteful number, since it uses less digits than its factorization.

202112434656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21266069 (or 21266055 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 202112434656 its reverse (656434211202), we get a palindrome (858546645858).

The spelling of 202112434656 in words is "two hundred two billion, one hundred twelve million, four hundred thirty-four thousand, six hundred fifty-six".