13743502304 has 96 divisors (see below), whose sum is σ = 33798352896. Its totient is φ = 5364725760.

The previous prime is 13743502277. The next prime is 13743502343. The reversal of 13743502304 is 40320534731.

13743502304 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 (32).

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 15 ways as a sum of consecutive naturals, for example, 59837 + ... + 176259.

It is an arithmetic number, because the mean of its divisors is an integer number (352066176).

Almost surely, 2^13743502304 is an apocalyptic number.

13743502304 is a gapful number since it is divisible by the number (14) 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 13743502304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16899176448).

13743502304 is an abundant number, since it is smaller than the sum of its proper divisors (20054850592).

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

13743502304 is a wasteful number, since it uses less digits than its factorization.

13743502304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116488 (or 116480 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The spelling of 13743502304 in words is "thirteen billion, seven hundred forty-three million, five hundred two thousand, three hundred four".