31326168593664 has 1296 divisors, whose sum is σ = 115623657676800. Its totient is φ = 8410522595328.

The previous prime is 31326168593633. The next prime is 31326168593701. The reversal of 31326168593664 is 46639586162313.

31326168593664 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 616 + 8 + 5 + 9 + 3 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7355285167 + ... + 7355289425.

Almost surely, 2^{31326168593664} 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 31326168593664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57811828838400).

31326168593664 is an abundant number, since it is smaller than the sum of its proper divisors (84297489083136).

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

31326168593664 is a wasteful number, since it uses less digits than its factorization.

31326168593664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450 (or 4417 counting only the distinct ones).

The product of its digits is 100776960, while the sum is 63.

The spelling of 31326168593664 in words is "thirty-one trillion, three hundred twenty-six billion, one hundred sixty-eight million, five hundred ninety-three thousand, six hundred sixty-four".