331165429056 has 1008 divisors, whose sum is σ = 1309608069120. Its totient is φ = 78817536000.

The previous prime is 331165429003. The next prime is 331165429057. The reversal of 331165429056 is 650924561133.

331165429056 is a `hidden beast` number, since 3 + 3 + 1 + 16 + 542 + 90 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×331165429056² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331165429057) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 182862391 + ... + 182864201.

Almost surely, 2^331165429056 is an apocalyptic number.

331165429056 is a gapful number since it is divisible by the number (36) 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 331165429056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654804034560).

331165429056 is an abundant number, since it is smaller than the sum of its proper divisors (978442640064).

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

331165429056 is a wasteful number, since it uses less digits than its factorization.

331165429056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 331165429056 in words is "three hundred thirty-one billion, one hundred sixty-five million, four hundred twenty-nine thousand, fifty-six".