166883810445 has 36 divisors (see below), whose sum is σ = 317952746748. Its totient is φ = 80913360000.

The previous prime is 166883810441. The next prime is 166883810453. The reversal of 166883810445 is 544018388661.

166883810445 is a `hidden beast` number, since 166 + 8 + 8 + 38 + 1 + 0 + 445 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17581168836 + 149302641609 = 132594^2 + 386397^2 .

It is not a de Polignac number, because 166883810445 - 2² = 166883810441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 166883810391 and 166883810400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166883810441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15319056 + ... + 15329945.

It is an arithmetic number, because the mean of its divisors is an integer number (8832020743).

Almost surely, 2^166883810445 is an apocalyptic number.

166883810445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

166883810445 is a deficient number, since it is larger than the sum of its proper divisors (151068936303).

166883810445 is a wasteful number, since it uses less digits than its factorization.

166883810445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30649034 (or 30649020 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 166883810445 in words is "one hundred sixty-six billion, eight hundred eighty-three million, eight hundred ten thousand, four hundred forty-five".