12641141610 has 64 divisors (see below), whose sum is σ = 33729004800. Its totient is φ = 3369041856.

The previous prime is 12641141593. The next prime is 12641141633. The reversal of 12641141610 is 1614114621.

12641141610 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 1 + 1 + 41 + 610 = 666.

12641141610 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12641141610² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 494872 + ... + 519788.

It is an arithmetic number, because the mean of its divisors is an integer number (527015700).

Almost surely, 2^12641141610 is an apocalyptic number.

12641141610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12641141610 is an abundant number, since it is smaller than the sum of its proper divisors (21087863190).

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

12641141610 is a wasteful number, since it uses less digits than its factorization.

12641141610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26812 (or 26806 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 12641141610 in words is "twelve billion, six hundred forty-one million, one hundred forty-one thousand, six hundred ten".