164129506641 has 9 divisors (see below), whose sum is σ = 237077709609. Its totient is φ = 109418860836.

The previous prime is 164129506627. The next prime is 164129506657. The reversal of 164129506641 is 146605921461.

The square root of 164129506641 is 405129.

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

164129506641 is a `hidden beast` number, since 1 + 64 + 1 + 29 + 506 + 64 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 164129506641 - 2⁹ = 164129506129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164119506641) 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 8 ways as a sum of consecutive naturals, for example, 1147866 + ... + 1282908.

Almost surely, 2^164129506641 is an apocalyptic number.

164129506641 is the 405129-th square number.

164129506641 is the 202565-th centered octagonal number.

It is an amenable number.

164129506641 is a deficient number, since it is larger than the sum of its proper divisors (72948202968).

164129506641 is an frugal number, since it uses more digits than its factorization.

164129506641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270092 (or 135046 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 164129506641 in words is "one hundred sixty-four billion, one hundred twenty-nine million, five hundred six thousand, six hundred forty-one".