12641162464 has 48 divisors (see below), whose sum is σ = 30115719648. Its totient is φ = 5098954752.

The previous prime is 12641162453. The next prime is 12641162467. The reversal of 12641162464 is 46426114621.

It is a happy number.

12641162464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12641162467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1656009 + ... + 1663624.

It is an arithmetic number, because the mean of its divisors is an integer number (627410826).

Almost surely, 2^12641162464 is an apocalyptic number.

12641162464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12641162464 is an abundant number, since it is smaller than the sum of its proper divisors (17474557184).

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

12641162464 is a wasteful number, since it uses less digits than its factorization.

12641162464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319667 (or 3319659 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The spelling of 12641162464 in words is "twelve billion, six hundred forty-one million, one hundred sixty-two thousand, four hundred sixty-four".