166049505 has 24 divisors (see below), whose sum is σ = 297746280. Its totient is φ = 85505280.

The previous prime is 166049459. The next prime is 166049509. The reversal of 166049505 is 505940661.

166049505 is a `hidden beast` number, since 166 + 0 + 495 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 567009 + 165482496 = 753^2 + 12864^2 .

It is not a de Polignac number, because 166049505 - 2⁶ = 166049441 is a prime.

It is a super-2 number, since 2×166049505² = 55144876221490050, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 166049505.

It is not an unprimeable number, because it can be changed into a prime (166049509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62316 + ... + 64925.

It is an arithmetic number, because the mean of its divisors is an integer number (12406095).

Almost surely, 2^166049505 is an apocalyptic number.

166049505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

166049505 is a deficient number, since it is larger than the sum of its proper divisors (131696775).

166049505 is a wasteful number, since it uses less digits than its factorization.

166049505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127281 (or 127278 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 166049505 is about 12886.0197501013. The cubic root of 166049505 is about 549.6410936678.

The spelling of 166049505 in words is "one hundred sixty-six million, forty-nine thousand, five hundred five".