22553733654144 has 1920 divisors, whose sum is σ = 90078748531200. Its totient is φ = 5523846451200.

The previous prime is 22553733654107. The next prime is 22553733654157. The reversal of 22553733654144 is 44145633735522.

22553733654144 is a `hidden beast` number, since 2 + 2 + 5 + 53 + 7 + 3 + 3 + 6 + 541 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 33021571627 + ... + 33021572309.

It is an arithmetic number, because the mean of its divisors is an integer number (46916014860).

Almost surely, 2^{22553733654144} is an apocalyptic number.

22553733654144 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 22553733654144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45039374265600).

22553733654144 is an abundant number, since it is smaller than the sum of its proper divisors (67525014877056).

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

22553733654144 is a wasteful number, since it uses less digits than its factorization.

22553733654144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1036 counting only the distinct ones).

The product of its digits is 36288000, while the sum is 54.

The spelling of 22553733654144 in words is "twenty-two trillion, five hundred fifty-three billion, seven hundred thirty-three million, six hundred fifty-four thousand, one hundred forty-four".