166999979742401 has 8 divisors (see below), whose sum is σ = 182794429277544. Its totient is φ = 151626715528320.

The previous prime is 166999979742383. The next prime is 166999979742433. The reversal of 166999979742401 is 104247979999661.

166999979742401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 21826976644225 + 145173003098176 = 4671935^2 + 12048776^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 166999979742401 - 2¹⁴ = 166999979726017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 166999979742401.

It is not an unprimeable number, because it can be changed into a prime (166999979741401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105296329436 + ... + 105296331021.

It is an arithmetic number, because the mean of its divisors is an integer number (22849303659693).

Almost surely, 2^{166999979742401} is an apocalyptic number.

It is an amenable number.

166999979742401 is a deficient number, since it is larger than the sum of its proper divisors (15794449535143).

166999979742401 is a wasteful number, since it uses less digits than its factorization.

166999979742401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210592660531.

The product of its (nonzero) digits is 3333197952, while the sum is 83.

The spelling of 166999979742401 in words is "one hundred sixty-six trillion, nine hundred ninety-nine billion, nine hundred seventy-nine million, seven hundred forty-two thousand, four hundred one".