12715977456 has 600 divisors, whose sum is σ = 46958859024. Its totient is φ = 3292047360.

The previous prime is 12715977437. The next prime is 12715977457. The reversal of 12715977456 is 65477951721.

12715977456 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 597 + 7 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12715977457) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 60265191 + ... + 60265401.

Almost surely, 2^12715977456 is an apocalyptic number.

12715977456 is a gapful number since it is divisible by the number (16) 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 12715977456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23479429512).

12715977456 is an abundant number, since it is smaller than the sum of its proper divisors (34242881568).

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

12715977456 is a wasteful number, since it uses less digits than its factorization.

12715977456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 309 counting only the distinct ones).

The product of its digits is 3704400, while the sum is 54.

The spelling of 12715977456 in words is "twelve billion, seven hundred fifteen million, nine hundred seventy-seven thousand, four hundred fifty-six".