201820712692032 has 448 divisors, whose sum is σ = 684122934804480. Its totient is φ = 57149680896000.

The previous prime is 201820712692007. The next prime is 201820712692051. The reversal of 201820712692032 is 230296217028102.

201820712692032 is a `hidden beast` number, since 2 + 0 + 182 + 0 + 7 + 1 + 269 + 203 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 1491574782 + ... + 1491710082.

Almost surely, 2^{201820712692032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201820712692032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342061467402240).

201820712692032 is an abundant number, since it is smaller than the sum of its proper divisors (482302222112448).

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

201820712692032 is a wasteful number, since it uses less digits than its factorization.

201820712692032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136427 (or 136411 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 201820712692032 in words is "two hundred one trillion, eight hundred twenty billion, seven hundred twelve million, six hundred ninety-two thousand, thirty-two".