331430157864 has 160 divisors (see below), whose sum is σ = 1001059779720. Its totient is φ = 101841836544.

The previous prime is 331430157841. The next prime is 331430157871. The reversal of 331430157864 is 468751034133.

331430157864 is a `hidden beast` number, since 3 + 3 + 1 + 430 + 157 + 8 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 208620562500 + 122809595364 = 456750^2 + 350442^2 .

It is a super-2 number, since 2×331430157864² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6350982 + ... + 6402954.

Almost surely, 2^331430157864 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 331430157864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500529889860).

331430157864 is an abundant number, since it is smaller than the sum of its proper divisors (669629621856).

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

331430157864 is a wasteful number, since it uses less digits than its factorization.

331430157864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52761 (or 52748 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 331430157864 in words is "three hundred thirty-one billion, four hundred thirty million, one hundred fifty-seven thousand, eight hundred sixty-four".