22401618624 has 1008 divisors, whose sum is σ = 88915305024. Its totient is φ = 5255331840.

The previous prime is 22401618623. The next prime is 22401618649. The reversal of 22401618624 is 42681610422.

22401618624 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 16 + 18 + 624 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (22401618623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 306871452 + ... + 306871524.

It is an arithmetic number, because the mean of its divisors is an integer number (88209628).

Almost surely, 2^22401618624 is an apocalyptic number.

22401618624 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 22401618624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44457652512).

22401618624 is an abundant number, since it is smaller than the sum of its proper divisors (66513686400).

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

22401618624 is a wasteful number, since it uses less digits than its factorization.

22401618624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 22401618624 in words is "twenty-two billion, four hundred one million, six hundred eighteen thousand, six hundred twenty-four".