13675820268384 has 120 divisors (see below), whose sum is σ = 40282958452968. Its totient is φ = 4551494492160.

The previous prime is 13675820268371. The next prime is 13675820268427. The reversal of 13675820268384 is 48386202857631.

13675820268384 is a `hidden beast` number, since 1 + 367 + 5 + 8 + 2 + 0 + 268 + 3 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2454102 + ... + 5777045.

Almost surely, 2^{13675820268384} is an apocalyptic number.

It is an amenable number.

13675820268384 is an abundant number, since it is smaller than the sum of its proper divisors (26607138184584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13675820268384 is an equidigital number, since it uses as much as digits as its factorization.

13675820268384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8231810 (or 8231793 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 13675820268384 in words is "thirteen trillion, six hundred seventy-five billion, eight hundred twenty million, two hundred sixty-eight thousand, three hundred eighty-four".