22668631272 has 512 divisors, whose sum is σ = 78382080000. Its totient is φ = 6054048000.

The previous prime is 22668631259. The next prime is 22668631277. The reversal of 22668631272 is 27213686622.

22668631272 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 8 + 631 + 2 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22668631277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90313147 + ... + 90313397.

It is an arithmetic number, because the mean of its divisors is an integer number (153090000).

Almost surely, 2^22668631272 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 22668631272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39191040000).

22668631272 is an abundant number, since it is smaller than the sum of its proper divisors (55713448728).

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

22668631272 is a wasteful number, since it uses less digits than its factorization.

22668631272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 339 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 22668631272 in words is "twenty-two billion, six hundred sixty-eight million, six hundred thirty-one thousand, two hundred seventy-two".