166416031424401 has 6 divisors (see below), whose sum is σ = 182920100656706. Its totient is φ = 151287301294800.

The previous prime is 166416031424341. The next prime is 166416031424441. The reversal of 166416031424401 is 104424130614661.

It can be written as a sum of positive squares in only one way, i.e., 122763053862801 + 43652977561600 = 11079849^2 + 6607040^2 .

It is not a de Polignac number, because 166416031424401 - 2¹¹ = 166416031422353 is a prime.

It is a super-2 number, since 2×166416031424401² (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 (166416031424441) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 687669551220 + ... + 687669551461.

Almost surely, 2^{166416031424401} is an apocalyptic number.

166416031424401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

166416031424401 is a deficient number, since it is larger than the sum of its proper divisors (16504069232305).

166416031424401 is a wasteful number, since it uses less digits than its factorization.

166416031424401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375339102703 (or 1375339102692 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 166416031424401 in words is "one hundred sixty-six trillion, four hundred sixteen billion, thirty-one million, four hundred twenty-four thousand, four hundred one".