331311689662464 has 1536 divisors, whose sum is σ = 1207730359440000. Its totient is φ = 89252733911040.

The previous prime is 331311689662451. The next prime is 331311689662469. The reversal of 331311689662464 is 464266986113133.

331311689662464 is a `hidden beast` number, since 3 + 3 + 1 + 3 + 1 + 168 + 9 + 6 + 6 + 2 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 not an unprimeable number, because it can be changed into a prime (331311689662469) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198509100222 + ... + 198509101890.

Almost surely, 2^{331311689662464} 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 331311689662464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603865179720000).

331311689662464 is an abundant number, since it is smaller than the sum of its proper divisors (876418669777536).

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

331311689662464 is a wasteful number, since it uses less digits than its factorization.

331311689662464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1941 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 63.

The spelling of 331311689662464 in words is "three hundred thirty-one trillion, three hundred eleven billion, six hundred eighty-nine million, six hundred sixty-two thousand, four hundred sixty-four".