22622566464 has 105 divisors (see below), whose sum is σ = 67092491037. Its totient is φ = 7537245696.

The previous prime is 22622566459. The next prime is 22622566489. The reversal of 22622566464 is 46466522622.

The square root of 22622566464 is 150408.

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

22622566464 is a `hidden beast` number, since 2 + 2 + 6 + 22 + 566 + 4 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19935180864 + 2687385600 = 141192^2 + 51840^2 .

It is a super-3 number, since 3×22622566464³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10828332 + ... + 10830420.

Almost surely, 2^22622566464 is an apocalyptic number.

22622566464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

22622566464 is the 150408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22622566464

22622566464 is an abundant number, since it is smaller than the sum of its proper divisors (44469924573).

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

22622566464 is an frugal number, since it uses more digits than its factorization.

22622566464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 2094 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The spelling of 22622566464 in words is "twenty-two billion, six hundred twenty-two million, five hundred sixty-six thousand, four hundred sixty-four".