164417166349 has 16 divisors (see below), whose sum is σ = 177329093760. Its totient is φ = 151932672000.

The previous prime is 164417166337. The next prime is 164417166359. The reversal of 164417166349 is 943661714461.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164417166349 is a prime.

It is a super-3 number, since 3×164417166349³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164417166296 and 164417166305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164417166359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4219144 + ... + 4257934.

It is an arithmetic number, because the mean of its divisors is an integer number (11083068360).

Almost surely, 2^164417166349 is an apocalyptic number.

164417166349 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

164417166349 is a deficient number, since it is larger than the sum of its proper divisors (12911927411).

164417166349 is a wasteful number, since it uses less digits than its factorization.

164417166349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44292.

The product of its digits is 2612736, while the sum is 52.

The spelling of 164417166349 in words is "one hundred sixty-four billion, four hundred seventeen million, one hundred sixty-six thousand, three hundred forty-nine".