22745865314304 has 1344 divisors, whose sum is σ = 82497091921920. Its totient is φ = 5945425920000.

The previous prime is 22745865314269. The next prime is 22745865314363. The reversal of 22745865314304 is 40341356854722.

22745865314304 is a `hidden beast` number, since 2 + 2 + 7 + 4 + 586 + 53 + 1 + 4 + 3 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8120621704 + ... + 8120624504.

Almost surely, 2^{22745865314304} is an apocalyptic number.

22745865314304 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 22745865314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41248545960960).

22745865314304 is an abundant number, since it is smaller than the sum of its proper divisors (59751226607616).

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

22745865314304 is a wasteful number, since it uses less digits than its factorization.

22745865314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 22745865314304 in words is "twenty-two trillion, seven hundred forty-five billion, eight hundred sixty-five million, three hundred fourteen thousand, three hundred four".