13917984192 has 224 divisors, whose sum is σ = 48271216640. Its totient is φ = 3848186880.

The previous prime is 13917984173. The next prime is 13917984209. The reversal of 13917984192 is 29148971931.

13917984192 is a `hidden beast` number, since 139 + 1 + 7 + 98 + 419 + 2 = 666.

13917984192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356418 + ... + 393534.

Almost surely, 2^13917984192 is an apocalyptic number.

13917984192 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 13917984192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24135608320).

13917984192 is an abundant number, since it is smaller than the sum of its proper divisors (34353232448).

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

13917984192 is a wasteful number, since it uses less digits than its factorization.

13917984192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37176 (or 37160 counting only the distinct ones).

The product of its digits is 979776, while the sum is 54.

The spelling of 13917984192 in words is "thirteen billion, nine hundred seventeen million, nine hundred eighty-four thousand, one hundred ninety-two".