331081562972160 has 4480 divisors, whose sum is σ = 1607896993747968. Its totient is φ = 62936580096000.

The previous prime is 331081562972159. The next prime is 331081562972201. The reversal of 331081562972160 is 61279265180133.

It is a happy number.

331081562972160 is a `hidden beast` number, since 3 + 3 + 1 + 0 + 8 + 1 + 5 + 629 + 7 + 2 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 331081562972097 and 331081562972106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 435061186180 + ... + 435061186940.

Almost surely, 2^{331081562972160} is an apocalyptic number.

331081562972160 is a gapful number since it is divisible by the number (30) 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 331081562972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803948496873984).

331081562972160 is an abundant number, since it is smaller than the sum of its proper divisors (1276815430775808).

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

331081562972160 is a wasteful number, since it uses less digits than its factorization.

331081562972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 331081562972160 in words is "three hundred thirty-one trillion, eighty-one billion, five hundred sixty-two million, nine hundred seventy-two thousand, one hundred sixty".