12230590464 has 175 divisors, whose sum is σ = 36674993083. Its totient is φ = 4076863488.

The previous prime is 12230590457. The next prime is 12230590481. The reversal of 12230590464 is 46409503221.

It is a happy number.

The square root of 12230590464 is 110592.

The cubic root of 12230590464 is 2304.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)⁶ ⋅ (2!)⁶.

12230590464 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 0 + 590 + 4 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 4076863487 + 4076863488 + 4076863489.

Almost surely, 2^12230590464 is an apocalyptic number.

12230590464 is the 110592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12230590464

12230590464 is an abundant number, since it is smaller than the sum of its proper divisors (24444402619).

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

12230590464 is an frugal number, since it uses more digits than its factorization.

12230590464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 12230590464 by its sum of digits (36), we get a square (440301256704 = 663552²).

12230590464 divided by its sum of digits (36) gives a square (339738624 = 18432²).

The spelling of 12230590464 in words is "twelve billion, two hundred thirty million, five hundred ninety thousand, four hundred sixty-four".