13876891392 has 576 divisors, whose sum is σ = 48459479040. Its totient is φ = 3425697792.

The previous prime is 13876891339. The next prime is 13876891397. The reversal of 13876891392 is 29319867831.

13876891392 = T₂₇₃ + T₂₇₄ + ... + T₄₃₆₆.

It is a super-2 number, since 2×13876891392² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13876891397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143060688 + ... + 143060784.

It is an arithmetic number, because the mean of its divisors is an integer number (84131040).

Almost surely, 2^13876891392 is an apocalyptic number.

13876891392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13876891392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24229739520).

13876891392 is an abundant number, since it is smaller than the sum of its proper divisors (34582587648).

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

13876891392 is a wasteful number, since it uses less digits than its factorization.

13876891392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 57.

The spelling of 13876891392 in words is "thirteen billion, eight hundred seventy-six million, eight hundred ninety-one thousand, three hundred ninety-two".