540375000312645 has 12 divisors (see below), whose sum is σ = 936650000541996. Its totient is φ = 288200000166720.

The previous prime is 540375000312611. The next prime is 540375000312677. The reversal of 540375000312645 is 546213000573045.

540375000312645 is a `hidden beast` number, since 5 + 40 + 37 + 500 + 0 + 3 + 12 + 64 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72989991122724 + 467385009189921 = 8543418^2 + 21619089^2 .

It is not a de Polignac number, because 540375000312645 - 2¹³ = 540375000304453 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 12008333340281 = 540375000312645 / (5 + 4 + 0 + 3 + 7 + 5 + 0 + 0 + 0 + 3 + 1 + 2 + 6 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 540375000312645.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6004166670096 + ... + 6004166670185.

It is an arithmetic number, because the mean of its divisors is an integer number (78054166711833).

Almost surely, 2^{540375000312645} is an apocalyptic number.

It is an amenable number.

540375000312645 is a deficient number, since it is larger than the sum of its proper divisors (396275000229351).

540375000312645 is a wasteful number, since it uses less digits than its factorization.

540375000312645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12008333340292 (or 12008333340289 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 540375000312645 in words is "five hundred forty trillion, three hundred seventy-five billion, three hundred twelve thousand, six hundred forty-five".