13845082311315 has 40 divisors (see below), whose sum is σ = 24821496565008. Its totient is φ = 7383179730240.

The previous prime is 13845082311271. The next prime is 13845082311331. The reversal of 13845082311315 is 51311328054831.

13845082311315 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 508 + 2 + 3 + 1 + 131 + 5 = 666.

It is not a de Polignac number, because 13845082311315 - 2⁷ = 13845082311187 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1471905 + ... + 5464125.

Almost surely, 2^{13845082311315} is an apocalyptic number.

13845082311315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13845082311315 is a deficient number, since it is larger than the sum of its proper divisors (10976414253693).

13845082311315 is an equidigital number, since it uses as much as digits as its factorization.

13845082311315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000801 (or 4000792 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 13845082311315 in words is "thirteen trillion, eight hundred forty-five billion, eighty-two million, three hundred eleven thousand, three hundred fifteen".