22832125344 has 192 divisors, whose sum is σ = 76353580800. Its totient is φ = 6502339584.

The previous prime is 22832125321. The next prime is 22832125373. The reversal of 22832125344 is 44352123822.

22832125344 is a `hidden beast` number, since 22 + 83 + 21 + 2 + 534 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22832125299 and 22832125308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1911262 + ... + 1923170.

It is an arithmetic number, because the mean of its divisors is an integer number (397674900).

Almost surely, 2^22832125344 is an apocalyptic number.

22832125344 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 22832125344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38176790400).

22832125344 is an abundant number, since it is smaller than the sum of its proper divisors (53521455456).

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

22832125344 is a wasteful number, since it uses less digits than its factorization.

22832125344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12252 (or 12238 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The spelling of 22832125344 in words is "twenty-two billion, eight hundred thirty-two million, one hundred twenty-five thousand, three hundred forty-four".