22845859812864 has 480 divisors, whose sum is σ = 74383302913920. Its totient is φ = 6918208450560.

The previous prime is 22845859812847. The next prime is 22845859812887. The reversal of 22845859812864 is 46821895854822.

22845859812864 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 5 + 8 + 598 + 1 + 28 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 22845859812792 and 22845859812801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2989118227 + ... + 2989125869.

It is an arithmetic number, because the mean of its divisors is an integer number (154965214404).

Almost surely, 2^{22845859812864} is an apocalyptic number.

22845859812864 is a gapful number since it is divisible by the number (24) 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 22845859812864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37191651456960).

22845859812864 is an abundant number, since it is smaller than the sum of its proper divisors (51537443101056).

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

22845859812864 is a wasteful number, since it uses less digits than its factorization.

22845859812864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9479 (or 9446 counting only the distinct ones).

The product of its digits is 707788800, while the sum is 72.

The spelling of 22845859812864 in words is "twenty-two trillion, eight hundred forty-five billion, eight hundred fifty-nine million, eight hundred twelve thousand, eight hundred sixty-four".