22413596832 has 288 divisors, whose sum is σ = 73203346944. Its totient is φ = 6688915200.

The previous prime is 22413596797. The next prime is 22413596837. The reversal of 22413596832 is 23869531422.

22413596832 is a `hidden beast` number, since 2 + 24 + 1 + 3 + 596 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×22413596832³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22413596837) 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, 5728957 + ... + 5732867.

It is an arithmetic number, because the mean of its divisors is an integer number (254178288).

Almost surely, 2^22413596832 is an apocalyptic number.

22413596832 is a gapful number since it is divisible by the number (22) 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 22413596832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36601673472).

22413596832 is an abundant number, since it is smaller than the sum of its proper divisors (50789750112).

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

22413596832 is a wasteful number, since it uses less digits than its factorization.

22413596832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4014 (or 3994 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 22413596832 in words is "twenty-two billion, four hundred thirteen million, five hundred ninety-six thousand, eight hundred thirty-two".