13834739520 has 896 divisors, whose sum is σ = 59177041920. Its totient is φ = 2976030720.

The previous prime is 13834739509. The next prime is 13834739543. The reversal of 13834739520 is 2593743831.

13834739520 is a `hidden beast` number, since 1 + 3 + 83 + 47 + 3 + 9 + 520 = 666.

13834739520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 88119282 + ... + 88119438.

Almost surely, 2^13834739520 is an apocalyptic number.

13834739520 is a gapful number since it is divisible by the number (10) 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 13834739520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29588520960).

13834739520 is an abundant number, since it is smaller than the sum of its proper divisors (45342302400).

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

13834739520 is a wasteful number, since it uses less digits than its factorization.

13834739520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 13834739520 in words is "thirteen billion, eight hundred thirty-four million, seven hundred thirty-nine thousand, five hundred twenty".