331665596352 has 280 divisors, whose sum is σ = 1016847912960. Its totient is φ = 106827102720.

The previous prime is 331665596351. The next prime is 331665596359. The reversal of 331665596352 is 253695566133.

331665596352 is a `hidden beast` number, since 3 + 3 + 16 + 6 + 5 + 596 + 35 + 2 = 666.

It is a super-2 number, since 2×331665596352² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331665596351) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19239577 + ... + 19256807.

Almost surely, 2^331665596352 is an apocalyptic number.

331665596352 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 331665596352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508423956480).

331665596352 is an abundant number, since it is smaller than the sum of its proper divisors (685182316608).

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

331665596352 is a wasteful number, since it uses less digits than its factorization.

331665596352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17381 (or 17362 counting only the distinct ones).

The product of its digits is 13122000, while the sum is 54.

The spelling of 331665596352 in words is "three hundred thirty-one billion, six hundred sixty-five million, five hundred ninety-six thousand, three hundred fifty-two".