13918680360 has 256 divisors, whose sum is σ = 50585472000. Its totient is φ = 3425856768.

The previous prime is 13918680323. The next prime is 13918680467. The reversal of 13918680360 is 6308681931.

It is a happy number.

13918680360 is a `hidden beast` number, since 1 + 39 + 186 + 80 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1131121 + ... + 1143359.

It is an arithmetic number, because the mean of its divisors is an integer number (197599500).

Almost surely, 2^13918680360 is an apocalyptic number.

13918680360 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 13918680360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25292736000).

13918680360 is an abundant number, since it is smaller than the sum of its proper divisors (36666791640).

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

13918680360 is a wasteful number, since it uses less digits than its factorization.

13918680360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12284 (or 12262 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 13918680360 in words is "thirteen billion, nine hundred eighteen million, six hundred eighty thousand, three hundred sixty".