164809286131059 has 36 divisors (see below), whose sum is σ = 252547224581808. Its totient is φ = 103372894595520.

The previous prime is 164809286131051. The next prime is 164809286131067. The reversal of 164809286131059 is 950131682908461.

164809286131059 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 0 + 9 + 2 + 8 + 613 + 1 + 0 + 5 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (164809286131051) and next prime (164809286131067).

It is not a de Polignac number, because 164809286131059 - 2³ = 164809286131051 is a prime.

It is a super-2 number, since 2×164809286131059² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164809286130987 and 164809286131005.

It is not an unprimeable number, because it can be changed into a prime (164809286131051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 106214452 + ... + 107754945.

It is an arithmetic number, because the mean of its divisors is an integer number (7015200682828).

Almost surely, 2^{164809286131059} is an apocalyptic number.

164809286131059 is a deficient number, since it is larger than the sum of its proper divisors (87737938450749).

164809286131059 is a wasteful number, since it uses less digits than its factorization.

164809286131059 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213969548 (or 213969484 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 164809286131059 in words is "one hundred sixty-four trillion, eight hundred nine billion, two hundred eighty-six million, one hundred thirty-one thousand, fifty-nine".