22553137152 has 728 divisors, whose sum is σ = 84227594304. Its totient is φ = 5876416512.

The previous prime is 22553137133. The next prime is 22553137183. The reversal of 22553137152 is 25173135522.

22553137152 is a `hidden beast` number, since 2 + 2 + 5 + 531 + 3 + 71 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (728).

It is a super-2 number, since 2×22553137152² (a number of 22 digits) contains 22 as substring.

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

It is a zygodrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 271724503 + ... + 271724585.

Almost surely, 2^22553137152 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 22553137152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42113797152).

22553137152 is an abundant number, since it is smaller than the sum of its proper divisors (61674457152).

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

22553137152 is an frugal number, since it uses more digits than its factorization.

22553137152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 108 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The spelling of 22553137152 in words is "twenty-two billion, five hundred fifty-three million, one hundred thirty-seven thousand, one hundred fifty-two".