164464313765 has 32 divisors (see below), whose sum is σ = 202319238240. Its totient is φ = 128309723136.

The previous prime is 164464313737. The next prime is 164464313777. The reversal of 164464313765 is 567313464461.

It is a Cunningham number, because it is equal to 405542²+1.

It can be written as a sum of positive squares in 16 ways, for example, as 139456686721 + 25007627044 = 373439^2 + 158138^2 .

It is a cyclic number.

It is not a de Polignac number, because 164464313765 - 2⁶ = 164464313701 is a prime.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17854481 + ... + 17863689.

It is an arithmetic number, because the mean of its divisors is an integer number (6322476195).

Almost surely, 2^164464313765 is an apocalyptic number.

It is an amenable number.

164464313765 is a deficient number, since it is larger than the sum of its proper divisors (37854924475).

164464313765 is a wasteful number, since it uses less digits than its factorization.

164464313765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9833.

The product of its digits is 4354560, while the sum is 50.

The spelling of 164464313765 in words is "one hundred sixty-four billion, four hundred sixty-four million, three hundred thirteen thousand, seven hundred sixty-five".