13893791424 has 336 divisors, whose sum is σ = 40958719200. Its totient is φ = 4149297152.

The previous prime is 13893791423. The next prime is 13893791441. The reversal of 13893791424 is 42419739831.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13893791423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156109972 + ... + 156110060.

It is an arithmetic number, because the mean of its divisors is an integer number (121900950).

Almost surely, 2^13893791424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13893791424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20479359600).

13893791424 is an abundant number, since it is smaller than the sum of its proper divisors (27064927776).

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

13893791424 is a wasteful number, since it uses less digits than its factorization.

13893791424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 199 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The spelling of 13893791424 in words is "thirteen billion, eight hundred ninety-three million, seven hundred ninety-one thousand, four hundred twenty-four".