12359272464 has 320 divisors, whose sum is σ = 44961884160. Its totient is φ = 3157056000.

The previous prime is 12359272447. The next prime is 12359272477. The reversal of 12359272464 is 46427295321.

12359272464 is a `hidden beast` number, since 1 + 2 + 35 + 92 + 72 + 464 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2026059 + ... + 2032149.

It is an arithmetic number, because the mean of its divisors is an integer number (140505888).

Almost surely, 2^12359272464 is an apocalyptic number.

12359272464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12359272464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22480942080).

12359272464 is an abundant number, since it is smaller than the sum of its proper divisors (32602611696).

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

12359272464 is a wasteful number, since it uses less digits than its factorization.

12359272464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6187 (or 6175 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 12359272464 in words is "twelve billion, three hundred fifty-nine million, two hundred seventy-two thousand, four hundred sixty-four".