22415387904 has 540 divisors, whose sum is σ = 83781252324. Its totient is φ = 5908267008.

The previous prime is 22415387879. The next prime is 22415387933. The reversal of 22415387904 is 40978351422.

22415387904 is a `hidden beast` number, since 2 + 2 + 41 + 538 + 79 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13437446400 + 8977941504 = 115920^2 + 94752^2 .

It is a super-2 number, since 2×22415387904² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22415387904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13207984 + ... + 13209680.

Almost surely, 2^22415387904 is an apocalyptic number.

22415387904 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 22415387904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41890626162).

22415387904 is an abundant number, since it is smaller than the sum of its proper divisors (61365864420).

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

22415387904 is a wasteful number, since it uses less digits than its factorization.

22415387904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 22415387904 in words is "twenty-two billion, four hundred fifteen million, three hundred eighty-seven thousand, nine hundred four".