22609585952 has 54 divisors (see below), whose sum is σ = 47012299803. Its totient is φ = 10702148544.

The previous prime is 22609585949. The next prime is 22609585963. The reversal of 22609585952 is 25958590622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 11304792976 + 11304792976 = 106324^2 + 106324^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=106324.

It is a super-2 number, since 2×22609585952² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22609585894 and 22609585903.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16160549 + ... + 16161947.

Almost surely, 2^22609585952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22609585952

22609585952 is an abundant number, since it is smaller than the sum of its proper divisors (24402713851).

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

22609585952 is an frugal number, since it uses more digits than its factorization.

22609585952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 53.

The spelling of 22609585952 in words is "twenty-two billion, six hundred nine million, five hundred eighty-five thousand, nine hundred fifty-two".