22931669376 has 1024 divisors, whose sum is σ = 92428646400. Its totient is φ = 5414584320.

The previous prime is 22931669363. The next prime is 22931669381. The reversal of 22931669376 is 67396613922.

22931669376 is a `hidden beast` number, since 22 + 93 + 166 + 9 + 376 = 666.

It is a super-2 number, since 2×22931669376² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 167384380 + ... + 167384516.

It is an arithmetic number, because the mean of its divisors is an integer number (90262350).

Almost surely, 2^22931669376 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 22931669376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46214323200).

22931669376 is an abundant number, since it is smaller than the sum of its proper divisors (69496977024).

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

22931669376 is a wasteful number, since it uses less digits than its factorization.

22931669376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 54.

The spelling of 22931669376 in words is "twenty-two billion, nine hundred thirty-one million, six hundred sixty-nine thousand, three hundred seventy-six".