331069472160 has 480 divisors, whose sum is σ = 1228860097920. Its totient is φ = 74911463424.

The previous prime is 331069472117. The next prime is 331069472231. The reversal of 331069472160 is 61274960133.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 118704046 + ... + 118706834.

It is an arithmetic number, because the mean of its divisors is an integer number (2560125204).

Almost surely, 2^331069472160 is an apocalyptic number.

331069472160 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 331069472160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614430048960).

331069472160 is an abundant number, since it is smaller than the sum of its proper divisors (897790625760).

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

331069472160 is a wasteful number, since it uses less digits than its factorization.

331069472160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 331069472160 in words is "three hundred thirty-one billion, sixty-nine million, four hundred seventy-two thousand, one hundred sixty".