12456267264 has 640 divisors, whose sum is σ = 44782848000. Its totient is φ = 3413975040.

The previous prime is 12456267259. The next prime is 12456267287. The reversal of 12456267264 is 46276265421.

12456267264 is a `hidden beast` number, since 1 + 2 + 4 + 562 + 67 + 26 + 4 = 666.

Its product of digits (967680) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

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, 175440349 + ... + 175440419.

It is an arithmetic number, because the mean of its divisors is an integer number (69973200).

Almost surely, 2^12456267264 is an apocalyptic number.

12456267264 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 12456267264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22391424000).

12456267264 is an abundant number, since it is smaller than the sum of its proper divisors (32326580736).

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

12456267264 is an frugal number, since it uses more digits than its factorization.

12456267264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 120 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 12456267264 in words is "twelve billion, four hundred fifty-six million, two hundred sixty-seven thousand, two hundred sixty-four".