331066432872 has 144 divisors (see below), whose sum is σ = 1064089222560. Its totient is φ = 94590304416.

The previous prime is 331066432871. The next prime is 331066432903. The reversal of 331066432872 is 278234660133.

331066432872 is a `hidden beast` number, since 3 + 310 + 6 + 6 + 4 + 328 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (331066432871) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83118 + ... + 817949.

It is an arithmetic number, because the mean of its divisors is an integer number (7389508490).

Almost surely, 2^331066432872 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 331066432872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532044611280).

331066432872 is an abundant number, since it is smaller than the sum of its proper divisors (733022789688).

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

331066432872 is an frugal number, since it uses more digits than its factorization.

331066432872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901104 (or 901079 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 331066432872 in words is "three hundred thirty-one billion, sixty-six million, four hundred thirty-two thousand, eight hundred seventy-two".