22456967040 has 256 divisors, whose sum is σ = 80886816000. Its totient is φ = 5886756864.

The previous prime is 22456967009. The next prime is 22456967041. The reversal of 22456967040 is 4076965422.

22456967040 is a `hidden beast` number, since 2 + 2 + 456 + 96 + 70 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22456967041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1008507 + ... + 1030533.

It is an arithmetic number, because the mean of its divisors is an integer number (315964125).

Almost surely, 2^22456967040 is an apocalyptic number.

22456967040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22456967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40443408000).

22456967040 is an abundant number, since it is smaller than the sum of its proper divisors (58429848960).

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

22456967040 is a wasteful number, since it uses less digits than its factorization.

22456967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22114 (or 22096 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 22456967040 in words is "twenty-two billion, four hundred fifty-six million, nine hundred sixty-seven thousand, forty".