331472094800 has 360 divisors, whose sum is σ = 1003076424000. Its totient is φ = 103038566400.

The previous prime is 331472094797. The next prime is 331472094817. The reversal of 331472094800 is 8490274133.

It is a super-2 number, since 2×331472094800² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 152120111 + ... + 152122289.

It is an arithmetic number, because the mean of its divisors is an integer number (2786323400).

Almost surely, 2^331472094800 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 331472094800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501538212000).

331472094800 is an abundant number, since it is smaller than the sum of its proper divisors (671604329200).

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

331472094800 is a wasteful number, since it uses less digits than its factorization.

331472094800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 331472094800 in words is "three hundred thirty-one billion, four hundred seventy-two million, ninety-four thousand, eight hundred".