22661604625440 has 288 divisors, whose sum is σ = 78661185946560. Its totient is φ = 5479878666240.

The previous prime is 22661604625411. The next prime is 22661604625447. The reversal of 22661604625440 is 4452640616622.

It is a happy number.

22661604625440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 22661604625440.

It is not an unprimeable number, because it can be changed into a prime (22661604625447) 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 47 ways as a sum of consecutive naturals, for example, 22566351 + ... + 23549169.

It is an arithmetic number, because the mean of its divisors is an integer number (273129117870).

Almost surely, 2^{22661604625440} is an apocalyptic number.

22661604625440 is a gapful number since it is divisible by the number (20) 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 22661604625440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39330592973280).

22661604625440 is an abundant number, since it is smaller than the sum of its proper divisors (55999581321120).

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

22661604625440 is a wasteful number, since it uses less digits than its factorization.

22661604625440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983256 (or 983237 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 22661604625440 in words is "twenty-two trillion, six hundred sixty-one billion, six hundred four million, six hundred twenty-five thousand, four hundred forty".