22832965152 has 192 divisors, whose sum is σ = 70246512000. Its totient is φ = 7195474944.

The previous prime is 22832965147. The next prime is 22832965187. The reversal of 22832965152 is 25156923822.

22832965152 is a `hidden beast` number, since 228 + 329 + 6 + 51 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22832965098 and 22832965107.

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, 10061874 + ... + 10064142.

It is an arithmetic number, because the mean of its divisors is an integer number (365867250).

Almost surely, 2^22832965152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22832965152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35123256000).

22832965152 is an abundant number, since it is smaller than the sum of its proper divisors (47413546848).

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

22832965152 is a wasteful number, since it uses less digits than its factorization.

22832965152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2906 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 22832965152 in words is "twenty-two billion, eight hundred thirty-two million, nine hundred sixty-five thousand, one hundred fifty-two".