13942824192 has 270 divisors, whose sum is σ = 45706340834. Its totient is φ = 4224337920.

The previous prime is 13942824187. The next prime is 13942824199. The reversal of 13942824192 is 29142824931.

13942824192 is a `hidden beast` number, since 1 + 39 + 428 + 2 + 4 + 192 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13739590656 + 203233536 = 117216^2 + 14256^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13942824199) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2506278 + ... + 2511834.

Almost surely, 2^13942824192 is an apocalyptic number.

13942824192 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 13942824192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22853170417).

13942824192 is an abundant number, since it is smaller than the sum of its proper divisors (31763516642).

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

13942824192 is an equidigital number, since it uses as much as digits as its factorization.

13942824192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5607 (or 5573 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 13942824192 in words is "thirteen billion, nine hundred forty-two million, eight hundred twenty-four thousand, one hundred ninety-two".