166748218790401 has 16 divisors (see below), whose sum is σ = 168969696667200. Its totient is φ = 164540707207488.

The previous prime is 166748218790383. The next prime is 166748218790423. The reversal of 166748218790401 is 104097812847661.

It is a cyclic number.

It is not a de Polignac number, because 166748218790401 - 2³³ = 166739628855809 is a prime.

It is a super-2 number, since 2×166748218790401² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (166748218790201) 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 15 ways as a sum of consecutive naturals, for example, 22691746 + ... + 29127508.

It is an arithmetic number, because the mean of its divisors is an integer number (10560606041700).

Almost surely, 2^{166748218790401} is an apocalyptic number.

It is an amenable number.

166748218790401 is a deficient number, since it is larger than the sum of its proper divisors (2221477876799).

166748218790401 is a wasteful number, since it uses less digits than its factorization.

166748218790401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6436848.

The product of its (nonzero) digits is 32514048, while the sum is 64.

The spelling of 166748218790401 in words is "one hundred sixty-six trillion, seven hundred forty-eight billion, two hundred eighteen million, seven hundred ninety thousand, four hundred one".