13817982360 has 384 divisors, whose sum is σ = 53210001600. Its totient is φ = 2843688960.

The previous prime is 13817982359. The next prime is 13817982383. The reversal of 13817982360 is 6328971831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3131836 + ... + 3136244.

Almost surely, 2^13817982360 is an apocalyptic number.

13817982360 is a gapful number since it is divisible by the number (10) 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 13817982360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26605000800).

13817982360 is an abundant number, since it is smaller than the sum of its proper divisors (39392019240).

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

13817982360 is a wasteful number, since it uses less digits than its factorization.

13817982360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4491 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 13817982360 in words is "thirteen billion, eight hundred seventeen million, nine hundred eighty-two thousand, three hundred sixty".