12465517054464 has 640 divisors, whose sum is σ = 39073152729600. Its totient is φ = 3916000788480.

The previous prime is 12465517054433. The next prime is 12465517054483. The reversal of 12465517054464 is 46445071556421.

12465517054464 is a `hidden beast` number, since 1 + 2 + 4 + 6 + 5 + 5 + 170 + 5 + 4 + 464 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12465517054464.

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, 10555051954 + ... + 10555053134.

It is an arithmetic number, because the mean of its divisors is an integer number (61051801140).

Almost surely, 2^{12465517054464} 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 12465517054464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19536576364800).

12465517054464 is an abundant number, since it is smaller than the sum of its proper divisors (26607635675136).

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

12465517054464 is a wasteful number, since it uses less digits than its factorization.

12465517054464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 12465517054464 in words is "twelve trillion, four hundred sixty-five billion, five hundred seventeen million, fifty-four thousand, four hundred sixty-four".