164561980329 has 24 divisors (see below), whose sum is σ = 239485825800. Its totient is φ = 108885224448.

The previous prime is 164561980301. The next prime is 164561980361. The reversal of 164561980329 is 923089165461.

164561980329 is a `hidden beast` number, since 16 + 4 + 5 + 619 + 8 + 0 + 3 + 2 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 558849600 + 164003130729 = 23640^2 + 404973^2 .

It is not a de Polignac number, because 164561980329 - 2⁷ = 164561980201 is a prime.

It is a super-3 number, since 3×164561980329³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (164561980369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1664409 + ... + 1760505.

It is an arithmetic number, because the mean of its divisors is an integer number (9978576075).

Almost surely, 2^164561980329 is an apocalyptic number.

It is an amenable number.

164561980329 is a deficient number, since it is larger than the sum of its proper divisors (74923845471).

164561980329 is a wasteful number, since it uses less digits than its factorization.

164561980329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97529 (or 97526 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 164561980329 in words is "one hundred sixty-four billion, five hundred sixty-one million, nine hundred eighty thousand, three hundred twenty-nine".