331352896000 has 480 divisors, whose sum is σ = 968706181872. Its totient is φ = 112715366400.

The previous prime is 331352895997. The next prime is 331352896013. The reversal of 331352896000 is 698253133.

It can be written as a sum of positive squares in 8 ways, for example, as 74373376 + 331278522624 = 8624^2 + 575568^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 492351664 + ... + 492352336.

Almost surely, 2^331352896000 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 331352896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484353090936).

331352896000 is an abundant number, since it is smaller than the sum of its proper divisors (637353285872).

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

331352896000 is an equidigital number, since it uses as much as digits as its factorization.

331352896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 331352896000 in words is "three hundred thirty-one billion, three hundred fifty-two million, eight hundred ninety-six thousand".