22815449008704 has 945 divisors, whose sum is σ = 76874539644441. Its totient is φ = 6685644303360.

The previous prime is 22815449008691. The next prime is 22815449008727. The reversal of 22815449008704 is 40780094451822.

The square root of 22815449008704 is 4776552.

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

22815449008704 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 544 + 90 + 0 + 8 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20415577089600 + 2399871919104 = 4518360^2 + 1549152^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 134 ways as a sum of consecutive naturals, for example, 139972079727 + ... + 139972079889.

Almost surely, 2^{22815449008704} is an apocalyptic number.

22815449008704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

22815449008704 is the 4776552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22815449008704

22815449008704 is an abundant number, since it is smaller than the sum of its proper divisors (54059090635737).

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

22815449008704 is an equidigital number, since it uses as much as digits as its factorization.

22815449008704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 22815449008704 in words is "twenty-two trillion, eight hundred fifteen billion, four hundred forty-nine million, eight thousand, seven hundred four".