13933783993248 has 1920 divisors, whose sum is σ = 53554294886400. Its totient is φ = 3461352652800.

The previous prime is 13933783993189. The next prime is 13933783993271. The reversal of 13933783993248 is 84239938733931.

13933783993248 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 378 + 3 + 9 + 9 + 3 + 248 = 666.

13933783993248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 30225127738 + ... + 30225128198.

It is an arithmetic number, because the mean of its divisors is an integer number (27892861920).

Almost surely, 2^{13933783993248} is an apocalyptic number.

13933783993248 is a gapful number since it is divisible by the number (18) 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 13933783993248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26777147443200).

13933783993248 is an abundant number, since it is smaller than the sum of its proper divisors (39620510893152).

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

13933783993248 is a wasteful number, since it uses less digits than its factorization.

13933783993248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 659 counting only the distinct ones).

The product of its digits is 634894848, while the sum is 72.

The spelling of 13933783993248 in words is "thirteen trillion, nine hundred thirty-three billion, seven hundred eighty-three million, nine hundred ninety-three thousand, two hundred forty-eight".