22513051123264 has 189 divisors, whose sum is σ = 49573058089779. Its totient is φ = 10139430712320.

The previous prime is 22513051123237. The next prime is 22513051123273. The reversal of 22513051123264 is 46232115031522.

It is a happy number.

The square root of 22513051123264 is 4744792.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1163032833600 + 21350018289664 = 1078440^2 + 4620608^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21218709294 + ... + 21218710354.

Almost surely, 2^{22513051123264} is an apocalyptic number.

22513051123264 is the 4744792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22513051123264

22513051123264 is an abundant number, since it is smaller than the sum of its proper divisors (27060006966515).

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

22513051123264 is an frugal number, since it uses more digits than its factorization.

22513051123264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

Adding to 22513051123264 its reverse (46232115031522), we get a palindrome (68745166154786).

It can be divided in two parts, 2251305 and 1123264, that added together give a square (3374569 = 1837²).

The spelling of 22513051123264 in words is "twenty-two trillion, five hundred thirteen billion, fifty-one million, one hundred twenty-three thousand, two hundred sixty-four".