331922129616 has 480 divisors, whose sum is σ = 1229226602240. Its totient is φ = 83880023040.

The previous prime is 331922129593. The next prime is 331922129641. The reversal of 331922129616 is 616921229133.

331922129616 is a `hidden beast` number, since 3 + 3 + 1 + 9 + 2 + 2 + 1 + 29 + 616 = 666.

It is a super-2 number, since 2×331922129616² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13526190 + ... + 13550706.

Almost surely, 2^331922129616 is an apocalyptic number.

331922129616 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 331922129616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614613301120).

331922129616 is an abundant number, since it is smaller than the sum of its proper divisors (897304472624).

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

331922129616 is a wasteful number, since it uses less digits than its factorization.

331922129616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24600 (or 24577 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The spelling of 331922129616 in words is "three hundred thirty-one billion, nine hundred twenty-two million, one hundred twenty-nine thousand, six hundred sixteen".