22153701920544 has 432 divisors, whose sum is σ = 69640951371264. Its totient is φ = 6668863027200.

The previous prime is 22153701920431. The next prime is 22153701920563. The reversal of 22153701920544 is 44502910735122.

22153701920544 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 3 + 70 + 19 + 20 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 22153701920544.

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 71 ways as a sum of consecutive naturals, for example, 193582189 + ... + 193696595.

It is an arithmetic number, because the mean of its divisors is an integer number (161205905952).

Almost surely, 2^{22153701920544} is an apocalyptic number.

22153701920544 is a gapful number since it is divisible by the number (24) 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 22153701920544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34820475685632).

22153701920544 is an abundant number, since it is smaller than the sum of its proper divisors (47487249450720).

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

22153701920544 is a wasteful number, since it uses less digits than its factorization.

22153701920544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114541 (or 114507 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 22153701920544 in words is "twenty-two trillion, one hundred fifty-three billion, seven hundred one million, nine hundred twenty thousand, five hundred forty-four".