22636871338752 has 1080 divisors, whose sum is σ = 75452073500496. Its totient is φ = 6744342528000.

The previous prime is 22636871338727. The next prime is 22636871338769. The reversal of 22636871338752 is 25783317863622.

22636871338752 is a `hidden beast` number, since 22 + 63 + 68 + 71 + 3 + 387 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 22636871338752.

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 119 ways as a sum of consecutive naturals, for example, 68389339227 + ... + 68389339557.

Almost surely, 2^{22636871338752} is an apocalyptic number.

22636871338752 is a gapful number since it is divisible by the number (22) 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 22636871338752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37726036750248).

22636871338752 is an abundant number, since it is smaller than the sum of its proper divisors (52815202161744).

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

22636871338752 is a wasteful number, since it uses less digits than its factorization.

22636871338752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 725 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 22636871338752 in words is "twenty-two trillion, six hundred thirty-six billion, eight hundred seventy-one million, three hundred thirty-eight thousand, seven hundred fifty-two".