22920654152704 has 891 divisors, whose sum is σ = 61594441674129. Its totient is φ = 8493500252160.

The previous prime is 22920654152663. The next prime is 22920654152779. The reversal of 22920654152704 is 40725145602922.

The square root of 22920654152704 is 4787552.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12019035055104 + 10901619097600 = 3466848^2 + 3301760^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 342099315679 + ... + 342099315745.

Almost surely, 2^{22920654152704} is an apocalyptic number.

22920654152704 is the 4787552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22920654152704

22920654152704 is an abundant number, since it is smaller than the sum of its proper divisors (38673787521425).

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

22920654152704 is an equidigital number, since it uses as much as digits as its factorization.

22920654152704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

22920654152704 divided by its sum of digits (49) gives a square (467768452096 = 683936²).

The spelling of 22920654152704 in words is "twenty-two trillion, nine hundred twenty billion, six hundred fifty-four million, one hundred fifty-two thousand, seven hundred four".