22959459309609 has 81 divisors (see below), whose sum is σ = 36012741633687. Its totient is φ = 14092372752768.

The previous prime is 22959459309607. The next prime is 22959459309623. The reversal of 22959459309609 is 90690395495922.

The square root of 22959459309609 is 4791603.

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

22959459309609 is a `hidden beast` number, since 2 + 2 + 9 + 5 + 9 + 4 + 5 + 9 + 3 + 0 + 9 + 609 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17875011573225 + 5084447736384 = 4227885^2 + 2254872^2 .

It is not a de Polignac number, because 22959459309609 - 2¹ = 22959459309607 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22959459309607) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11485471392 + ... + 11485473390.

Almost surely, 2^{22959459309609} is an apocalyptic number.

22959459309609 is the 4791603-rd square number.

22959459309609 is the 2395802-nd centered octagonal number.

It is an amenable number.

22959459309609 is a deficient number, since it is larger than the sum of its proper divisors (13053282324078).

22959459309609 is an frugal number, since it uses more digits than its factorization.

22959459309609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4132 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 425152800, while the sum is 72.

The spelling of 22959459309609 in words is "twenty-two trillion, nine hundred fifty-nine billion, four hundred fifty-nine million, three hundred nine thousand, six hundred nine".