22768395664 has 135 divisors (see below), whose sum is σ = 54684672483. Its totient is φ = 9154919424.

The previous prime is 22768395623. The next prime is 22768395673. The reversal of 22768395664 is 46659386722.

The square root of 22768395664 is 150892.

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 1405650064 + 21362745600 = 37492^2 + 146160^2 .

It is a super-2 number, since 2×22768395664² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22768395599 and 22768395608.

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, 71824434 + ... + 71824750.

Almost surely, 2^22768395664 is an apocalyptic number.

22768395664 is the 150892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22768395664

22768395664 is an abundant number, since it is smaller than the sum of its proper divisors (31916276819).

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

22768395664 is an equidigital number, since it uses as much as digits as its factorization.

22768395664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 343 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 58.

The spelling of 22768395664 in words is "twenty-two billion, seven hundred sixty-eight million, three hundred ninety-five thousand, six hundred sixty-four".