331991890013952 has 216 divisors, whose sum is σ = 1120641326095200. Its totient is φ = 92541293199360.

The previous prime is 331991890013909. The next prime is 331991890013977. The reversal of 331991890013952 is 259310098199133.

331991890013952 is a `hidden beast` number, since 3 + 319 + 9 + 189 + 0 + 0 + 139 + 5 + 2 = 666.

It is a super-2 number, since 2×331991890013952² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 331991890013952.

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 23 ways as a sum of consecutive naturals, for example, 250373077 + ... + 251695572.

Almost surely, 2^{331991890013952} is an apocalyptic number.

331991890013952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

331991890013952 is an abundant number, since it is smaller than the sum of its proper divisors (788649436081248).

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

331991890013952 is a wasteful number, since it uses less digits than its factorization.

331991890013952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502068719 (or 502068702 counting only the distinct ones).

The product of its (nonzero) digits is 14171760, while the sum is 63.

The spelling of 331991890013952 in words is "three hundred thirty-one trillion, nine hundred ninety-one billion, eight hundred ninety million, thirteen thousand, nine hundred fifty-two".