13734410568 has 96 divisors (see below), whose sum is σ = 36638116800. Its totient is φ = 4289522688.

The previous prime is 13734410561. The next prime is 13734410579. The reversal of 13734410568 is 86501443731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13734410561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1584021 + ... + 1592667.

It is an arithmetic number, because the mean of its divisors is an integer number (381647050).

Almost surely, 2^13734410568 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 13734410568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18319058400).

13734410568 is an abundant number, since it is smaller than the sum of its proper divisors (22903706232).

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

13734410568 is a wasteful number, since it uses less digits than its factorization.

13734410568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8919 (or 8898 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 13734410568 in words is "thirteen billion, seven hundred thirty-four million, four hundred ten thousand, five hundred sixty-eight".