22713338315160 has 768 divisors, whose sum is σ = 77917525171200. Its totient is φ = 5733125443584.

The previous prime is 22713338315159. The next prime is 22713338315183. The reversal of 22713338315160 is 6151383331722.

22713338315160 is a `hidden beast` number, since 2 + 2 + 71 + 3 + 3 + 38 + 31 + 516 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18481153426 + ... + 18481154654.

It is an arithmetic number, because the mean of its divisors is an integer number (101455110900).

Almost surely, 2^{22713338315160} is an apocalyptic number.

22713338315160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22713338315160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38958762585600).

22713338315160 is an abundant number, since it is smaller than the sum of its proper divisors (55204186856040).

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

22713338315160 is a wasteful number, since it uses less digits than its factorization.

22713338315160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 22713338315160 in words is "twenty-two trillion, seven hundred thirteen billion, three hundred thirty-eight million, three hundred fifteen thousand, one hundred sixty".