166317152401 has 8 divisors (see below), whose sum is σ = 170955434664. Its totient is φ = 161686408320.

The previous prime is 166317152389. The next prime is 166317152431. The reversal of 166317152401 is 104251713661.

It is a Cunningham number, because it is equal to 407820²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 85425260176 + 80891892225 = 292276^2 + 284415^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 166317152401 - 2⁵ = 166317152369 is a prime.

It is a super-2 number, since 2×166317152401² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (166317152431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1839790 + ... + 1928071.

It is an arithmetic number, because the mean of its divisors is an integer number (21369429333).

Almost surely, 2^166317152401 is an apocalyptic number.

It is an amenable number.

166317152401 is a deficient number, since it is larger than the sum of its proper divisors (4638282263).

166317152401 is a wasteful number, since it uses less digits than its factorization.

166317152401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769091.

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 166317152401 in words is "one hundred sixty-six billion, three hundred seventeen million, one hundred fifty-two thousand, four hundred one".