23264485729 has 9 divisors (see below), whose sum is σ = 23468653971. Its totient is φ = 23062082400.

The previous prime is 23264485709. The next prime is 23264485753. The reversal of 23264485729 is 92758446232.

The square root of 23264485729 is 152527.

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

It can be written as a sum of positive squares in only one way, i.e., 38725729 + 23225760000 = 6223^2 + 152400^2 .

It is not a de Polignac number, because 23264485729 - 2⁵ = 23264485697 is a prime.

It is a super-2 number, since 2×23264485729² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23264485709) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19370329 + ... + 19371529.

It is an arithmetic number, because the mean of its divisors is an integer number (2607628219).

Almost surely, 2^23264485729 is an apocalyptic number.

23264485729 is the 152527-th square number.

23264485729 is the 76264-th centered octagonal number.

It is an amenable number.

23264485729 is a deficient number, since it is larger than the sum of its proper divisors (204168242).

23264485729 is an frugal number, since it uses more digits than its factorization.

23264485729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2656 (or 1328 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 52.

The spelling of 23264485729 in words is "twenty-three billion, two hundred sixty-four million, four hundred eighty-five thousand, seven hundred twenty-nine".