331081191883872 has 144 divisors (see below), whose sum is σ = 949098592954512. Its totient is φ = 109474214446080.

The previous prime is 331081191883867. The next prime is 331081191883901. The reversal of 331081191883872 is 278388191180133.

331081191883872 is a `hidden beast` number, since 3 + 3 + 10 + 81 + 1 + 91 + 88 + 387 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×331081191883872² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12695683 + ... + 28693949.

It is an arithmetic number, because the mean of its divisors is an integer number (6590962451073).

Almost surely, 2^{331081191883872} is an apocalyptic number.

331081191883872 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 331081191883872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474549296477256).

331081191883872 is an abundant number, since it is smaller than the sum of its proper divisors (618017401070640).

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

331081191883872 is a wasteful number, since it uses less digits than its factorization.

331081191883872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15998861 (or 15998850 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 331081191883872 in words is "three hundred thirty-one trillion, eighty-one billion, one hundred ninety-one million, eight hundred eighty-three thousand, eight hundred seventy-two".