331696800000 has 648 divisors, whose sum is σ = 1247973749568. Its totient is φ = 84564480000.

The previous prime is 331696799933. The next prime is 331696800011. The reversal of 331696800000 is 8696133.

It is a happy number.

It is a super-2 number, since 2×331696800000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 165598999 + ... + 165601001.

It is an arithmetic number, because the mean of its divisors is an integer number (1925885416).

Almost surely, 2^331696800000 is an apocalyptic number.

331696800000 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 331696800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623986874784).

331696800000 is an abundant number, since it is smaller than the sum of its proper divisors (916276949568).

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

331696800000 is an equidigital number, since it uses as much as digits as its factorization.

331696800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 331696800000 in words is "three hundred thirty-one billion, six hundred ninety-six million, eight hundred thousand".