22683128832 has 1056 divisors, whose sum is σ = 89699081472. Its totient is φ = 5350883328.

The previous prime is 22683128807. The next prime is 22683128879. The reversal of 22683128832 is 23882138622.

It is a happy number.

22683128832 is a `hidden beast` number, since 226 + 8 + 312 + 88 + 32 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 527514603 + ... + 527514645.

It is an arithmetic number, because the mean of its divisors is an integer number (84942312).

Almost surely, 2^22683128832 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 22683128832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44849540736).

22683128832 is an abundant number, since it is smaller than the sum of its proper divisors (67015952640).

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

22683128832 is a wasteful number, since it uses less digits than its factorization.

22683128832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 122 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 22683128832 in words is "twenty-two billion, six hundred eighty-three million, one hundred twenty-eight thousand, eight hundred thirty-two".