22894534656 has 672 divisors, whose sum is σ = 82438207488. Its totient is φ = 6210846720.

The previous prime is 22894534631. The next prime is 22894534667. The reversal of 22894534656 is 65643549822.

22894534656 is a `hidden beast` number, since 22 + 89 + 4 + 534 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×22894534656² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (12441600) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 431972326 + ... + 431972378.

It is an arithmetic number, because the mean of its divisors is an integer number (122675904).

Almost surely, 2^22894534656 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 22894534656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41219103744).

22894534656 is an abundant number, since it is smaller than the sum of its proper divisors (59543672832).

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

22894534656 is an frugal number, since it uses more digits than its factorization.

22894534656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 96 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 22894534656 in words is "twenty-two billion, eight hundred ninety-four million, five hundred thirty-four thousand, six hundred fifty-six".