165420117345 has 64 divisors (see below), whose sum is σ = 316137037824. Its totient is φ = 72217474560.

The previous prime is 165420117323. The next prime is 165420117347. The reversal of 165420117345 is 543711024561.

165420117345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 165420117345 - 2¹⁸ = 165419855201 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (165420117347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1469589 + ... + 1578141.

It is an arithmetic number, because the mean of its divisors is an integer number (4939641216).

Almost surely, 2^165420117345 is an apocalyptic number.

165420117345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165420117345 is a deficient number, since it is larger than the sum of its proper divisors (150716920479).

165420117345 is a wasteful number, since it uses less digits than its factorization.

165420117345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109222.

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 165420117345 in words is "one hundred sixty-five billion, four hundred twenty million, one hundred seventeen thousand, three hundred forty-five".