13873281417 has 48 divisors (see below), whose sum is σ = 21082114560. Its totient is φ = 8788767840.

The previous prime is 13873281407. The next prime is 13873281419. The reversal of 13873281417 is 71418237831.

It is not a de Polignac number, because 13873281417 - 2³⁰ = 12799539593 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13873281419) 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 47 ways as a sum of consecutive naturals, for example, 15818583 + ... + 15819459.

It is an arithmetic number, because the mean of its divisors is an integer number (439210720).

Almost surely, 2^13873281417 is an apocalyptic number.

It is an amenable number.

13873281417 is a deficient number, since it is larger than the sum of its proper divisors (7208833143).

13873281417 is an frugal number, since it uses more digits than its factorization.

13873281417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 970 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The spelling of 13873281417 in words is "thirteen billion, eight hundred seventy-three million, two hundred eighty-one thousand, four hundred seventeen".