22545793152 has 128 divisors (see below), whose sum is σ = 66989520000. Its totient is φ = 7464655872.

The previous prime is 22545793117. The next prime is 22545793211. The reversal of 22545793152 is 25139754522.

22545793152 is a `hidden beast` number, since 2 + 2 + 545 + 7 + 93 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 22545793098 and 22545793107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493053 + ... + 536835.

It is an arithmetic number, because the mean of its divisors is an integer number (523355625).

Almost surely, 2^22545793152 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 22545793152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33494760000).

22545793152 is an abundant number, since it is smaller than the sum of its proper divisors (44443726848).

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

22545793152 is a wasteful number, since it uses less digits than its factorization.

22545793152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43955 (or 43937 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The spelling of 22545793152 in words is "twenty-two billion, five hundred forty-five million, seven hundred ninety-three thousand, one hundred fifty-two".