331398450900 has 1080 divisors, whose sum is σ = 1254538454400. Its totient is φ = 75020774400.

The previous prime is 331398450899. The next prime is 331398450913. The reversal of 331398450900 is 9054893133.

331398450900 is a `hidden beast` number, since 3 + 3 + 139 + 8 + 4 + 509 + 0 + 0 = 666.

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 359 ways as a sum of consecutive naturals, for example, 3723578056 + ... + 3723578144.

It is an arithmetic number, because the mean of its divisors is an integer number (1161609680).

Almost surely, 2^331398450900 is an apocalyptic number.

331398450900 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 331398450900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627269227200).

331398450900 is an abundant number, since it is smaller than the sum of its proper divisors (923140003500).

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

331398450900 is a wasteful number, since it uses less digits than its factorization.

331398450900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 331398450900 in words is "three hundred thirty-one billion, three hundred ninety-eight million, four hundred fifty thousand, nine hundred".