64131613146 has 48 divisors (see below), whose sum is σ = 141346951200. Its totient is φ = 21008929824.

The previous prime is 64131613141. The next prime is 64131613171.

64131613146 is a `hidden beast` number, since 6 + 4 + 1 + 31 + 613 + 1 + 4 + 6 = 666.

64131613146 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×64131613146² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64131613146.

It is not an unprimeable number, because it can be changed into a prime (64131613141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5290140 + ... + 5302248.

It is an arithmetic number, because the mean of its divisors is an integer number (2944728150).

Almost surely, 2^64131613146 is an apocalyptic number.

64131613146 is an abundant number, since it is smaller than the sum of its proper divisors (77215338054).

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

64131613146 is a wasteful number, since it uses less digits than its factorization.

64131613146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17163 (or 17160 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 64131613146 in words is "sixty-four billion, one hundred thirty-one million, six hundred thirteen thousand, one hundred forty-six".