164040390361 has 9 divisors (see below), whose sum is σ = 164558419039. Its totient is φ = 163523991136.

The previous prime is 164040390313. The next prime is 164040390379. The reversal of 164040390361 is 163093040461.

The square root of 164040390361 is 405019.

It is a perfect power (a square), and thus also a powerful number.

164040390361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 100866584025 + 63173806336 = 317595^2 + 251344^2 .

It is not a de Polignac number, because 164040390361 - 2¹¹ = 164040388313 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 164040390361.

It is not an unprimeable number, because it can be changed into a prime (164040390391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 240175926 + ... + 240176608.

Almost surely, 2^164040390361 is an apocalyptic number.

164040390361 is the 405019-th square number.

164040390361 is the 202510-th centered octagonal number.

It is an amenable number.

164040390361 is a deficient number, since it is larger than the sum of its proper divisors (518028678).

164040390361 is an frugal number, since it uses more digits than its factorization.

164040390361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 164040390361 in words is "one hundred sixty-four billion, forty million, three hundred ninety thousand, three hundred sixty-one".