331545108960 has 384 divisors, whose sum is σ = 1251275195520. Its totient is φ = 81506304000.

The previous prime is 331545108919. The next prime is 331545109009. The reversal of 331545108960 is 69801545133.

331545108960 is a `hidden beast` number, since 3 + 3 + 1 + 54 + 510 + 89 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49473610 + ... + 49480310.

It is an arithmetic number, because the mean of its divisors is an integer number (3258529155).

Almost surely, 2^331545108960 is an apocalyptic number.

331545108960 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 331545108960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625637597760).

331545108960 is an abundant number, since it is smaller than the sum of its proper divisors (919730086560).

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

331545108960 is a wasteful number, since it uses less digits than its factorization.

331545108960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7619 (or 7605 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 331545108960 in words is "three hundred thirty-one billion, five hundred forty-five million, one hundred eight thousand, nine hundred sixty".