321164631648 has 432 divisors, whose sum is σ = 1090298270880. Its totient is φ = 87834378240.

The previous prime is 321164631631. The next prime is 321164631653. The reversal of 321164631648 is 846136461123.

321164631648 is a `hidden beast` number, since 3 + 2 + 1 + 1 + 6 + 4 + 631 + 6 + 4 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 187924618 + ... + 187926326.

It is an arithmetic number, because the mean of its divisors is an integer number (2523838590).

Almost surely, 2^321164631648 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 321164631648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545149135440).

321164631648 is an abundant number, since it is smaller than the sum of its proper divisors (769133639232).

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

321164631648 is a wasteful number, since it uses less digits than its factorization.

321164631648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891 (or 1849 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 321164631648 in words is "three hundred twenty-one billion, one hundred sixty-four million, six hundred thirty-one thousand, six hundred forty-eight".