331884398664 has 384 divisors, whose sum is σ = 1152715898880. Its totient is φ = 83909260800.

The previous prime is 331884398621. The next prime is 331884398687. The reversal of 331884398664 is 466893488133.

331884398664 is a `hidden beast` number, since 3 + 3 + 188 + 4 + 398 + 6 + 64 = 666.

It is a super-2 number, since 2×331884398664² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21725349 + ... + 21740619.

It is an arithmetic number, because the mean of its divisors is an integer number (3001864320).

Almost surely, 2^331884398664 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 331884398664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576357949440).

331884398664 is an abundant number, since it is smaller than the sum of its proper divisors (820831500216).

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

331884398664 is a wasteful number, since it uses less digits than its factorization.

331884398664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15441 (or 15434 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 331884398664 in words is "three hundred thirty-one billion, eight hundred eighty-four million, three hundred ninety-eight thousand, six hundred sixty-four".