164916180345 has 64 divisors (see below), whose sum is σ = 319446167040. Its totient is φ = 70923030528.

The previous prime is 164916180337. The next prime is 164916180427. The reversal of 164916180345 is 543081619461.

It is not a de Polignac number, because 164916180345 - 2³ = 164916180337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 164916180294 and 164916180303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4101559 + ... + 4141571.

It is an arithmetic number, because the mean of its divisors is an integer number (4991346360).

Almost surely, 2^164916180345 is an apocalyptic number.

164916180345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164916180345 is a deficient number, since it is larger than the sum of its proper divisors (154529986695).

164916180345 is a wasteful number, since it uses less digits than its factorization.

164916180345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42354.

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 164916180345 in words is "one hundred sixty-four billion, nine hundred sixteen million, one hundred eighty thousand, three hundred forty-five".