22553241984 has 768 divisors, whose sum is σ = 85839936000. Its totient is φ = 5550944256.

The previous prime is 22553241983. The next prime is 22553241989. The reversal of 22553241984 is 48914235522.

22553241984 is a `hidden beast` number, since 2 + 2 + 553 + 2 + 4 + 1 + 98 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22553241983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 336615519 + ... + 336615585.

It is an arithmetic number, because the mean of its divisors is an integer number (111770750).

Almost surely, 2^22553241984 is an apocalyptic number.

22553241984 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 22553241984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42919968000).

22553241984 is an abundant number, since it is smaller than the sum of its proper divisors (63286694016).

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

22553241984 is a wasteful number, since it uses less digits than its factorization.

22553241984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 111 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 22553241984 in words is "twenty-two billion, five hundred fifty-three million, two hundred forty-one thousand, nine hundred eighty-four".