22300355593152 has 1008 divisors, whose sum is σ = 80673880734720. Its totient is φ = 5733994033152.

The previous prime is 22300355593097. The next prime is 22300355593157. The reversal of 22300355593152 is 25139555300322.

22300355593152 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 0 + 3 + 5 + 5 + 593 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 22300355593098 and 22300355593107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22300355593157) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 93306927049 + ... + 93306927287.

It is an arithmetic number, because the mean of its divisors is an integer number (80033611840).

Almost surely, 2^{22300355593152} 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 22300355593152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40336940367360).

22300355593152 is an abundant number, since it is smaller than the sum of its proper divisors (58373525141568).

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

22300355593152 is a wasteful number, since it uses less digits than its factorization.

22300355593152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1215000, while the sum is 45.

The spelling of 22300355593152 in words is "twenty-two trillion, three hundred billion, three hundred fifty-five million, five hundred ninety-three thousand, one hundred fifty-two".