22563643834368 has 2880 divisors, whose sum is σ = 89768787763200. Its totient is φ = 5618427494400.

The previous prime is 22563643834357. The next prime is 22563643834379. The reversal of 22563643834368 is 86343834636522.

22563643834368 is a `hidden beast` number, since 2 + 2 + 5 + 63 + 64 + 3 + 83 + 436 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (22563643834357) and next prime (22563643834379).

It is a super-2 number, since 2×22563643834368² (a number of 28 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 550332776428 + ... + 550332776468.

Almost surely, 2^{22563643834368} is an apocalyptic number.

22563643834368 is a gapful number since it is divisible by the number (28) 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 22563643834368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44884393881600).

22563643834368 is an abundant number, since it is smaller than the sum of its proper divisors (67205143928832).

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

22563643834368 is an frugal number, since it uses more digits than its factorization.

22563643834368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 97 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 63.

The spelling of 22563643834368 in words is "twenty-two trillion, five hundred sixty-three billion, six hundred forty-three million, eight hundred thirty-four thousand, three hundred sixty-eight".