13913089344 has 504 divisors, whose sum is σ = 52063083072. Its totient is φ = 3450839040.

The previous prime is 13913089339. The next prime is 13913089349. The reversal of 13913089344 is 44398031931.

It is an interprime number because it is at equal distance from previous prime (13913089339) and next prime (13913089349).

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 13913089344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13913089349) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23461912 + ... + 23462504.

It is an arithmetic number, because the mean of its divisors is an integer number (103299768).

Almost surely, 2^13913089344 is an apocalyptic number.

13913089344 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 13913089344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26031541536).

13913089344 is an abundant number, since it is smaller than the sum of its proper divisors (38149993728).

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

13913089344 is a wasteful number, since it uses less digits than its factorization.

13913089344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 13913089344 in words is "thirteen billion, nine hundred thirteen million, eighty-nine thousand, three hundred forty-four".