12617478543488 has 576 divisors, whose sum is σ = 32679805622400. Its totient is φ = 4833657593856.

The previous prime is 12617478543457. The next prime is 12617478543529. The reversal of 12617478543488 is 88434587471621.

It is a super-2 number, since 2×12617478543488² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4438084595 + ... + 4438087437.

It is an arithmetic number, because the mean of its divisors is an integer number (56735773650).

Almost surely, 2^{12617478543488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12617478543488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16339902811200).

12617478543488 is an abundant number, since it is smaller than the sum of its proper divisors (20062327078912).

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

12617478543488 is a wasteful number, since it uses less digits than its factorization.

12617478543488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029 (or 2997 counting only the distinct ones).

The product of its digits is 289013760, while the sum is 68.

The spelling of 12617478543488 in words is "twelve trillion, six hundred seventeen billion, four hundred seventy-eight million, five hundred forty-three thousand, four hundred eighty-eight".