17956277145 has 12 divisors (see below), whose sum is σ = 31124213796. Its totient is φ = 9576681120.

The previous prime is 17956277137. The next prime is 17956277153. The reversal of 17956277145 is 54177265971.

17956277145 is a `hidden beast` number, since 1 + 7 + 9 + 5 + 627 + 7 + 1 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (17956277137) and next prime (17956277153).

It can be written as a sum of positive squares in 2 ways, for example, as 2074984704 + 15881292441 = 45552^2 + 126021^2 .

It is not a de Polignac number, because 17956277145 - 2³ = 17956277137 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 17956277091 and 17956277100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199514146 + ... + 199514235.

It is an arithmetic number, because the mean of its divisors is an integer number (2593684483).

Almost surely, 2^17956277145 is an apocalyptic number.

17956277145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

17956277145 is a deficient number, since it is larger than the sum of its proper divisors (13167936651).

17956277145 is a wasteful number, since it uses less digits than its factorization.

17956277145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399028392 (or 399028389 counting only the distinct ones).

The product of its digits is 3704400, while the sum is 54.

The spelling of 17956277145 in words is "seventeen billion, nine hundred fifty-six million, two hundred seventy-seven thousand, one hundred forty-five".