30751372433664 has 243 divisors, whose sum is σ = 92704797554187. Its totient is φ = 9802833435648.

The previous prime is 30751372433611. The next prime is 30751372433707. The reversal of 30751372433664 is 46633427315703.

The square root of 30751372433664 is 5545392.

It is a perfect power (a square), and thus also a powerful number.

30751372433664 is a `hidden beast` number, since 3 + 0 + 7 + 5 + 1 + 37 + 243 + 366 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 30751372433664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6122110257 + ... + 6122115279.

Almost surely, 2^{30751372433664} is an apocalyptic number.

30751372433664 is the 5545392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30751372433664

30751372433664 is an abundant number, since it is smaller than the sum of its proper divisors (61953425120523).

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

30751372433664 is an frugal number, since it uses more digits than its factorization.

30751372433664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10114 (or 5051 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 54.

The spelling of 30751372433664 in words is "thirty trillion, seven hundred fifty-one billion, three hundred seventy-two million, four hundred thirty-three thousand, six hundred sixty-four".