13873165716384 has 144 divisors (see below), whose sum is σ = 44985780213192. Its totient is φ = 4017568333824.

The previous prime is 13873165716353. The next prime is 13873165716547. The reversal of 13873165716384 is 48361756137831.

13873165716384 is a `hidden beast` number, since 1 + 3 + 87 + 3 + 165 + 7 + 16 + 384 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13524947706384 + 348218010000 = 3677628^2 + 590100^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×13873165716384³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108919869 + ... + 109047164.

Almost surely, 2^{13873165716384} is an apocalyptic number.

It is an amenable number.

13873165716384 is an abundant number, since it is smaller than the sum of its proper divisors (31112614496808).

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

13873165716384 is a wasteful number, since it uses less digits than its factorization.

13873165716384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217967079 (or 217967068 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 13873165716384 in words is "thirteen trillion, eight hundred seventy-three billion, one hundred sixty-five million, seven hundred sixteen thousand, three hundred eighty-four".