331680404172 has 96 divisors (see below), whose sum is σ = 853964762112. Its totient is φ = 99558084096.

The previous prime is 331680404129. The next prime is 331680404173. The reversal of 331680404172 is 271404086133.

It is a super-2 number, since 2×331680404172² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 331680404172.

It is not an unprimeable number, because it can be changed into a prime (331680404173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2177248 + ... + 2324600.

It is an arithmetic number, because the mean of its divisors is an integer number (8895466272).

Almost surely, 2^331680404172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331680404172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426982381056).

331680404172 is an abundant number, since it is smaller than the sum of its proper divisors (522284357940).

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

331680404172 is a wasteful number, since it uses less digits than its factorization.

331680404172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147727 (or 147725 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 331680404172 in words is "three hundred thirty-one billion, six hundred eighty million, four hundred four thousand, one hundred seventy-two".