22601313504 has 864 divisors, whose sum is σ = 87838732800. Its totient is φ = 5434490880.

The previous prime is 22601313491. The next prime is 22601313529. The reversal of 22601313504 is 40531310622.

22601313504 is a `hidden beast` number, since 2 + 2 + 601 + 3 + 1 + 3 + 50 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 233003184 + ... + 233003280.

It is an arithmetic number, because the mean of its divisors is an integer number (101665200).

Almost surely, 2^22601313504 is an apocalyptic number.

22601313504 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 22601313504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43919366400).

22601313504 is an abundant number, since it is smaller than the sum of its proper divisors (65237419296).

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

22601313504 is a wasteful number, since it uses less digits than its factorization.

22601313504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 22601313504 in words is "twenty-two billion, six hundred one million, three hundred thirteen thousand, five hundred four".