331669427590656 has 320 divisors, whose sum is σ = 986225497171200. Its totient is φ = 110054689210368.

The previous prime is 331669427590639. The next prime is 331669427590667. The reversal of 331669427590656 is 656095724966133.

331669427590656 is a `hidden beast` number, since 3 + 3 + 1 + 6 + 6 + 9 + 4 + 27 + 590 + 6 + 5 + 6 = 666.

It is a super-2 number, since 2×331669427590656² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5609791111 + ... + 5609850233.

It is an arithmetic number, because the mean of its divisors is an integer number (3081954678660).

Almost surely, 2^{331669427590656} is an apocalyptic number.

331669427590656 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 331669427590656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493112748585600).

331669427590656 is an abundant number, since it is smaller than the sum of its proper divisors (654556069580544).

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

331669427590656 is a wasteful number, since it uses less digits than its factorization.

331669427590656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60986 (or 60964 counting only the distinct ones).

The product of its (nonzero) digits is 1322697600, while the sum is 72.

The spelling of 331669427590656 in words is "three hundred thirty-one trillion, six hundred sixty-nine billion, four hundred twenty-seven million, five hundred ninety thousand, six hundred fifty-six".