164023161777 has 18 divisors (see below), whose sum is σ = 251678757798. Its totient is φ = 102916492032.

The previous prime is 164023161737. The next prime is 164023161779. The reversal of 164023161777 is 777161320461.

164023161777 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 23 + 1 + 617 + 7 + 7 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 124495359921 + 39527801856 = 352839^2 + 198816^2 .

It is not a de Polignac number, because 164023161777 - 2¹⁴ = 164023145393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164023161779) 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 17 ways as a sum of consecutive naturals, for example, 31528188 + ... + 31533389.

It is an arithmetic number, because the mean of its divisors is an integer number (13982153211).

Almost surely, 2^164023161777 is an apocalyptic number.

164023161777 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

164023161777 is a deficient number, since it is larger than the sum of its proper divisors (87655596021).

164023161777 is a wasteful number, since it uses less digits than its factorization.

164023161777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63061617 (or 63061597 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 164023161777 in words is "one hundred sixty-four billion, twenty-three million, one hundred sixty-one thousand, seven hundred seventy-seven".