65664407161319 has 16 divisors (see below), whose sum is σ = 66612264005376. Its totient is φ = 64717194057600.

The previous prime is 65664407161237. The next prime is 65664407161343. The reversal of 65664407161319 is 91316170446656.

It is a cyclic number.

It is not a de Polignac number, because 65664407161319 - 2³² = 65660112194023 is a prime.

It is a super-2 number, since 2×65664407161319² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65664407167319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3366187364 + ... + 3366206870.

It is an arithmetic number, because the mean of its divisors is an integer number (4163266500336).

Almost surely, 2^{65664407161319} is an apocalyptic number.

65664407161319 is a deficient number, since it is larger than the sum of its proper divisors (947856844057).

65664407161319 is a wasteful number, since it uses less digits than its factorization.

65664407161319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33526.

The product of its (nonzero) digits is 19595520, while the sum is 59.

The spelling of 65664407161319 in words is "sixty-five trillion, six hundred sixty-four billion, four hundred seven million, one hundred sixty-one thousand, three hundred nineteen".