14018140028385 has 12 divisors (see below), whose sum is σ = 24298109382612. Its totient is φ = 7476341348448.

The previous prime is 14018140028329. The next prime is 14018140028393. The reversal of 14018140028385 is 58382004181041.

14018140028385 is a `hidden beast` number, since 1 + 40 + 181 + 400 + 28 + 3 + 8 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8544449301921 + 5473690726464 = 2923089^2 + 2339592^2 .

It is not a de Polignac number, because 14018140028385 - 2¹¹ = 14018140026337 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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: 311514222853 = 14018140028385 / (1 + 4 + 0 + 1 + 8 + 1 + 4 + 0 + 0 + 2 + 8 + 3 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 14018140028385.

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, 155757111382 + ... + 155757111471.

It is an arithmetic number, because the mean of its divisors is an integer number (2024842448551).

Almost surely, 2^{14018140028385} is an apocalyptic number.

14018140028385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14018140028385 is a deficient number, since it is larger than the sum of its proper divisors (10279969354227).

14018140028385 is a wasteful number, since it uses less digits than its factorization.

14018140028385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311514222864 (or 311514222861 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 14018140028385 in words is "fourteen trillion, eighteen billion, one hundred forty million, twenty-eight thousand, three hundred eighty-five".