420165814575393 has 24 divisors (see below), whose sum is σ = 618825335305320. Its totient is φ = 274617394571520.

The previous prime is 420165814575337. The next prime is 420165814575439. The reversal of 420165814575393 is 393575418561024.

420165814575393 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 6 + 58 + 1 + 4 + 575 + 3 + 9 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 266437978493184 + 153727836082209 = 16322928^2 + 12398703^2 .

It is not a de Polignac number, because 420165814575393 - 2⁹ = 420165814574881 is a prime.

It is a super-2 number, since 2×420165814575393² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 420165814575393.

It is not an unprimeable number, because it can be changed into a prime (420165814575323) 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, 332772898 + ... + 334033131.

It is an arithmetic number, because the mean of its divisors is an integer number (25784388971055).

It is a 2-persistent number, because it is pandigital, and so is 2⋅420165814575393 = 840331629150786, but 3⋅420165814575393 = 1260497443726179 is not.

Almost surely, 2^{420165814575393} is an apocalyptic number.

It is an amenable number.

420165814575393 is a deficient number, since it is larger than the sum of its proper divisors (198659520729927).

420165814575393 is a wasteful number, since it uses less digits than its factorization.

420165814575393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666807409 (or 666807406 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 420165814575393 in words is "four hundred twenty trillion, one hundred sixty-five billion, eight hundred fourteen million, five hundred seventy-five thousand, three hundred ninety-three".