331801743786912 has 1152 divisors, whose sum is σ = 1185008851353600. Its totient is φ = 85985155694592.

The previous prime is 331801743786907. The next prime is 331801743786923. The reversal of 331801743786912 is 219687347108133.

331801743786912 is a `hidden beast` number, since 3 + 3 + 1 + 8 + 0 + 174 + 378 + 6 + 91 + 2 = 666.

It is a super-2 number, since 2×331801743786912² (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 331801743786912.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23460485313 + ... + 23460499455.

It is an arithmetic number, because the mean of its divisors is an integer number (1028653516800).

Almost surely, 2^{331801743786912} is an apocalyptic number.

331801743786912 is a gapful number since it is divisible by the number (32) 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 331801743786912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592504425676800).

331801743786912 is an abundant number, since it is smaller than the sum of its proper divisors (853207107566688).

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

331801743786912 is a wasteful number, since it uses less digits than its factorization.

331801743786912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14530 (or 14519 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 331801743786912 in words is "three hundred thirty-one trillion, eight hundred one billion, seven hundred forty-three million, seven hundred eighty-six thousand, nine hundred twelve".