166688414823601 has 16 divisors (see below), whose sum is σ = 187724938752000. Its totient is φ = 146633290117200.

The previous prime is 166688414823571. The next prime is 166688414823607. The reversal of 166688414823601 is 106328414886661.

166688414823601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 166688414823601 - 2²¹ = 166688412726449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (166688414823607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18612901 + ... + 26073298.

It is an arithmetic number, because the mean of its divisors is an integer number (11732808672000).

Almost surely, 2^{166688414823601} is an apocalyptic number.

166688414823601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

166688414823601 is a deficient number, since it is larger than the sum of its proper divisors (21036523928399).

166688414823601 is a wasteful number, since it uses less digits than its factorization.

166688414823601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44697180.

The product of its (nonzero) digits is 63700992, while the sum is 64.

The spelling of 166688414823601 in words is "one hundred sixty-six trillion, six hundred eighty-eight billion, four hundred fourteen million, eight hundred twenty-three thousand, six hundred one".