23129530006489 has 27 divisors (see below), whose sum is σ = 24824663505463. Its totient is φ = 21545740160000.

The previous prime is 23129530006399. The next prime is 23129530006501. The reversal of 23129530006489 is 98460003592132.

The square root of 23129530006489 is 4809317.

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

It can be written as a sum of positive squares in 13 ways, for example, as 261126110025 + 22868403896464 = 511005^2 + 4782092^2 .

It is not a de Polignac number, because 23129530006489 - 2²⁵ = 23129496452057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23129530076489) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8257595889 + ... + 8257598689.

Almost surely, 2^{23129530006489} is an apocalyptic number.

23129530006489 is the 4809317-th square number.

23129530006489 is the 2404659-th centered octagonal number.

It is an amenable number.

23129530006489 is a deficient number, since it is larger than the sum of its proper divisors (1695133498974).

23129530006489 is an frugal number, since it uses more digits than its factorization.

23129530006489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5838 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 23129530006489 in words is "twenty-three trillion, one hundred twenty-nine billion, five hundred thirty million, six thousand, four hundred eighty-nine".