13680145344 has 224 divisors, whose sum is σ = 40292121600. Its totient is φ = 4074323968.

The previous prime is 13680145343. The next prime is 13680145357. The reversal of 13680145344 is 44354108631.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13680145343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11185117 + ... + 11186339.

Almost surely, 2^13680145344 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 13680145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20146060800).

13680145344 is an abundant number, since it is smaller than the sum of its proper divisors (26611976256).

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

13680145344 is a wasteful number, since it uses less digits than its factorization.

13680145344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 13680145344 in words is "thirteen billion, six hundred eighty million, one hundred forty-five thousand, three hundred forty-four".