12586401691456 has 28 divisors (see below), whose sum is σ = 25651171695268. Its totient is φ = 6123114335232.

The previous prime is 12586401691399. The next prime is 12586401691477. The reversal of 12586401691456 is 65419610468521.

It can be written as a sum of positive squares in 2 ways, for example, as 7232657209600 + 5353744481856 = 2689360^2 + 2313816^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12586401691456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2657599341 + ... + 2657604076.

It is an arithmetic number, because the mean of its divisors is an integer number (916113274831).

Almost surely, 2^{12586401691456} is an apocalyptic number.

12586401691456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12586401691456 is an abundant number, since it is smaller than the sum of its proper divisors (13064770003812).

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

12586401691456 is an equidigital number, since it uses as much as digits as its factorization.

12586401691456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5315203466 (or 5315203456 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 58.

The spelling of 12586401691456 in words is "twelve trillion, five hundred eighty-six billion, four hundred one million, six hundred ninety-one thousand, four hundred fifty-six".