22951821312 has 544 divisors, whose sum is σ = 83046585600. Its totient is φ = 6115295232.

The previous prime is 22951821311. The next prime is 22951821359. The reversal of 22951821312 is 21312815922.

22951821312 is a `hidden beast` number, since 2 + 2 + 9 + 518 + 2 + 131 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (544).

It is a super-2 number, since 2×22951821312² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22951821311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210567114 + ... + 210567222.

Almost surely, 2^22951821312 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 22951821312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41523292800).

22951821312 is an abundant number, since it is smaller than the sum of its proper divisors (60094764288).

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

22951821312 is an equidigital number, since it uses as much as digits as its factorization.

22951821312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 138 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The spelling of 22951821312 in words is "twenty-two billion, nine hundred fifty-one million, eight hundred twenty-one thousand, three hundred twelve".