12641146353 has 12 divisors (see below), whose sum is σ = 19919382288. Its totient is φ = 7661300760.

The previous prime is 12641146339. The next prime is 12641146373. The reversal of 12641146353 is 35364114621.

12641146353 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 1 + 14 + 635 + 3 = 666.

It is not a de Polignac number, because 12641146353 - 2⁸ = 12641146097 is a prime.

It is a super-2 number, since 2×12641146353² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12641146333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63844075 + ... + 63844272.

It is an arithmetic number, because the mean of its divisors is an integer number (1659948524).

Almost surely, 2^12641146353 is an apocalyptic number.

It is an amenable number.

12641146353 is a deficient number, since it is larger than the sum of its proper divisors (7278235935).

12641146353 is a wasteful number, since it uses less digits than its factorization.

12641146353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127688364 (or 127688361 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 12641146353 in words is "twelve billion, six hundred forty-one million, one hundred forty-six thousand, three hundred fifty-three".