166104311114313 has 48 divisors (see below), whose sum is σ = 281878956777600. Its totient is φ = 92923848864000.

The previous prime is 166104311114221. The next prime is 166104311114351. The reversal of 166104311114313 is 313411113401661.

166104311114313 is a `hidden beast` number, since 1 + 6 + 6 + 10 + 4 + 311 + 1 + 14 + 313 = 666.

It is not a de Polignac number, because 166104311114313 - 2¹² = 166104311110217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (166104311114713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73730613 + ... + 75950061.

It is an arithmetic number, because the mean of its divisors is an integer number (5872478266200).

Almost surely, 2^{166104311114313} is an apocalyptic number.

166104311114313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

166104311114313 is a deficient number, since it is larger than the sum of its proper divisors (115774645663287).

166104311114313 is a wasteful number, since it uses less digits than its factorization.

166104311114313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277630 (or 2277627 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Adding to 166104311114313 its reverse (313411113401661), we get a palindrome (479515424515974).

The spelling of 166104311114313 in words is "one hundred sixty-six trillion, one hundred four billion, three hundred eleven million, one hundred fourteen thousand, three hundred thirteen".