331085905920 has 1296 divisors, whose sum is σ = 1485935575488. Its totient is φ = 68797071360.

The previous prime is 331085905889. The next prime is 331085905949. The reversal of 331085905920 is 29509580133.

331085905920 is a `hidden beast` number, since 3 + 3 + 1 + 0 + 8 + 59 + 0 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

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, 30098718715 + ... + 30098718725.

It is an arithmetic number, because the mean of its divisors is an integer number (1146555228).

Almost surely, 2^331085905920 is an apocalyptic number.

331085905920 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 331085905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742967787744).

331085905920 is an abundant number, since it is smaller than the sum of its proper divisors (1154849669568).

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

331085905920 is an frugal number, since it uses more digits than its factorization.

331085905920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 331085905920 in words is "three hundred thirty-one billion, eighty-five million, nine hundred five thousand, nine hundred twenty".