13863882240 has 800 divisors, whose sum is σ = 55316147040. Its totient is φ = 3296526336.

The previous prime is 13863882239. The next prime is 13863882257. The reversal of 13863882240 is 4228836831.

13863882240 is a `hidden beast` number, since 1 + 3 + 8 + 638 + 8 + 2 + 2 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 99740091 + ... + 99740229.

Almost surely, 2^13863882240 is an apocalyptic number.

13863882240 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 13863882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27658073520).

13863882240 is an abundant number, since it is smaller than the sum of its proper divisors (41452264800).

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

13863882240 is a wasteful number, since it uses less digits than its factorization.

13863882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 13863882240 in words is "thirteen billion, eight hundred sixty-three million, eight hundred eighty-two thousand, two hundred forty".