164829526120 has 48 divisors (see below), whose sum is σ = 431416060740. Its totient is φ = 56512979712.

The previous prime is 164829526117. The next prime is 164829526163. The reversal of 164829526120 is 21625928461.

It can be written as a sum of positive squares in 2 ways, for example, as 164688249124 + 141276996 = 405818^2 + 11886^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 42046389 + ... + 42050308.

Almost surely, 2^164829526120 is an apocalyptic number.

164829526120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164829526120 is an abundant number, since it is smaller than the sum of its proper divisors (266586534620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164829526120 is a wasteful number, since it uses less digits than its factorization.

164829526120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84096722 (or 84096711 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 164829526120 in words is "one hundred sixty-four billion, eight hundred twenty-nine million, five hundred twenty-six thousand, one hundred twenty".