13874999967 has 24 divisors (see below), whose sum is σ = 20195012448. Its totient is φ = 9179352000.

The previous prime is 13874999923. The next prime is 13874999981. The reversal of 13874999967 is 76999947831.

It is not a de Polignac number, because 13874999967 - 2¹⁶ = 13874934431 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13874999895 and 13874999904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13874999167) 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 23 ways as a sum of consecutive naturals, for example, 1480717 + ... + 1490057.

It is an arithmetic number, because the mean of its divisors is an integer number (841458852).

Almost surely, 2^13874999967 is an apocalyptic number.

13874999967 is a deficient number, since it is larger than the sum of its proper divisors (6320012481).

13874999967 is a wasteful number, since it uses less digits than its factorization.

13874999967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10591 (or 10588 counting only the distinct ones).

The product of its digits is 185177664, while the sum is 72.

The spelling of 13874999967 in words is "thirteen billion, eight hundred seventy-four million, nine hundred ninety-nine thousand, nine hundred sixty-seven".