13845177713667 has 8 divisors (see below), whose sum is σ = 19546133242896. Its totient is φ = 8687170330112.

The previous prime is 13845177713581. The next prime is 13845177713693. The reversal of 13845177713667 is 76631777154831.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13845177713667 - 2⁷ = 13845177713539 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13845177713598 and 13845177713607.

It is not an unprimeable number, because it can be changed into a prime (13845177713167) 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 7 ways as a sum of consecutive naturals, for example, 135737036358 + ... + 135737036459.

It is an arithmetic number, because the mean of its divisors is an integer number (2443266655362).

Almost surely, 2^{13845177713667} is an apocalyptic number.

13845177713667 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13845177713667 is a deficient number, since it is larger than the sum of its proper divisors (5700955529229).

13845177713667 is a wasteful number, since it uses less digits than its factorization.

13845177713667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271474072837.

The product of its digits is 124467840, while the sum is 66.

The spelling of 13845177713667 in words is "thirteen trillion, eight hundred forty-five billion, one hundred seventy-seven million, seven hundred thirteen thousand, six hundred sixty-seven".