13902324768 has 144 divisors (see below), whose sum is σ = 40630052736. Its totient is φ = 4506969600.

The previous prime is 13902324767. The next prime is 13902324773. The reversal of 13902324768 is 86742320931.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (13902324763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2203218 + ... + 2209518.

It is an arithmetic number, because the mean of its divisors is an integer number (282153144).

Almost surely, 2^13902324768 is an apocalyptic number.

13902324768 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 13902324768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20315026368).

13902324768 is an abundant number, since it is smaller than the sum of its proper divisors (26727727968).

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

13902324768 is a wasteful number, since it uses less digits than its factorization.

13902324768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6527 (or 6516 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13902324768 in words is "thirteen billion, nine hundred two million, three hundred twenty-four thousand, seven hundred sixty-eight".