22456457555840 has 768 divisors, whose sum is σ = 74462124994560. Its totient is φ = 6375127449600.

The previous prime is 22456457555827. The next prime is 22456457555843. The reversal of 22456457555840 is 4855575465422.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22456457555843) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181732157 + ... + 181855683.

It is an arithmetic number, because the mean of its divisors is an integer number (96955891920).

Almost surely, 2^{22456457555840} is an apocalyptic number.

22456457555840 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 22456457555840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37231062497280).

22456457555840 is an abundant number, since it is smaller than the sum of its proper divisors (52005667438720).

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

22456457555840 is a wasteful number, since it uses less digits than its factorization.

22456457555840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123619 (or 123600 counting only the distinct ones).

The product of its (nonzero) digits is 268800000, while the sum is 62.

The spelling of 22456457555840 in words is "twenty-two trillion, four hundred fifty-six billion, four hundred fifty-seven million, five hundred fifty-five thousand, eight hundred forty".