22678139752704 has 180 divisors, whose sum is σ = 67666956033600. Its totient is φ = 7554366581760.

The previous prime is 22678139752637. The next prime is 22678139752721. The reversal of 22678139752704 is 40725793187622.

It is a happy number.

22678139752704 is a `hidden beast` number, since 2 + 2 + 6 + 7 + 8 + 13 + 97 + 527 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30970197 + ... + 31693995.

It is an arithmetic number, because the mean of its divisors is an integer number (375927533520).

It is a 1-persistent number, because it is pandigital, but 2⋅22678139752704 = 45356279505408 is not.

Almost surely, 2^{22678139752704} is an apocalyptic number.

22678139752704 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 22678139752704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33833478016800).

22678139752704 is an abundant number, since it is smaller than the sum of its proper divisors (44988816280896).

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

22678139752704 is an equidigital number, since it uses as much as digits as its factorization.

22678139752704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725338 (or 725315 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 22678139752704 in words is "twenty-two trillion, six hundred seventy-eight billion, one hundred thirty-nine million, seven hundred fifty-two thousand, seven hundred four".