165556142124345 has 96 divisors (see below), whose sum is σ = 336917630170368. Its totient is φ = 73616547700224.

The previous prime is 165556142124313. The next prime is 165556142124361. The reversal of 165556142124345 is 543421241655561.

165556142124345 is a `hidden beast` number, since 1 + 6 + 5 + 5 + 5 + 614 + 2 + 12 + 4 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 165556142124345 - 2⁵ = 165556142124313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 165556142124291 and 165556142124300.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39337927 + ... + 43342643.

It is an arithmetic number, because the mean of its divisors is an integer number (3509558647608).

Almost surely, 2^{165556142124345} is an apocalyptic number.

165556142124345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165556142124345 is an abundant number, since it is smaller than the sum of its proper divisors (171361488046023).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165556142124345 is a wasteful number, since it uses less digits than its factorization.

165556142124345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4008319 (or 4008316 counting only the distinct ones).

The product of its digits is 17280000, while the sum is 54.

The spelling of 165556142124345 in words is "one hundred sixty-five trillion, five hundred fifty-six billion, one hundred forty-two million, one hundred twenty-four thousand, three hundred forty-five".