5646314136465 has 128 divisors (see below), whose sum is σ = 10671807283200. Its totient is φ = 2824395609600.

The previous prime is 5646314136451. The next prime is 5646314136467.

It is a happy number.

5646314136465 is a `hidden beast` number, since 5 + 6 + 4 + 6 + 3 + 141 + 36 + 465 = 666.

5646314136465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5646314136465 - 2⁸ = 5646314136209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5646314136467) 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 127 ways as a sum of consecutive naturals, for example, 494287744 + ... + 494299166.

It is an arithmetic number, because the mean of its divisors is an integer number (83373494400).

Almost surely, 2^{5646314136465} is an apocalyptic number.

It is an amenable number.

5646314136465 is a deficient number, since it is larger than the sum of its proper divisors (5025493146735).

5646314136465 is a wasteful number, since it uses less digits than its factorization.

5646314136465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13364 (or 13358 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 5646314136465 in words is "five trillion, six hundred forty-six billion, three hundred fourteen million, one hundred thirty-six thousand, four hundred sixty-five".