331256845920 has 1152 divisors, whose sum is σ = 1421323158528. Its totient is φ = 62971084800.

The previous prime is 331256845901. The next prime is 331256845961. The reversal of 331256845920 is 29548652133.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 331256845920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1130569294 + ... + 1130569586.

It is an arithmetic number, because the mean of its divisors is an integer number (1233787464).

Almost surely, 2^331256845920 is an apocalyptic number.

331256845920 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 331256845920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710661579264).

331256845920 is an abundant number, since it is smaller than the sum of its proper divisors (1090066312608).

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

331256845920 is a wasteful number, since it uses less digits than its factorization.

331256845920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 331256845920 in words is "three hundred thirty-one billion, two hundred fifty-six million, eight hundred forty-five thousand, nine hundred twenty".