22400981136 has 160 divisors (see below), whose sum is σ = 65069347200. Its totient is φ = 7378076160.

The previous prime is 22400981129. The next prime is 22400981143. The reversal of 22400981136 is 63118900422.

It is an interprime number because it is at equal distance from previous prime (22400981129) and next prime (22400981143).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22400981136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15675270 + ... + 15676698.

It is an arithmetic number, because the mean of its divisors is an integer number (406683420).

Almost surely, 2^22400981136 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 22400981136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32534673600).

22400981136 is an abundant number, since it is smaller than the sum of its proper divisors (42668366064).

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

22400981136 is a wasteful number, since it uses less digits than its factorization.

22400981136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 22400981136 in words is "twenty-two billion, four hundred million, nine hundred eighty-one thousand, one hundred thirty-six".