13864482720 has 384 divisors, whose sum is σ = 53343360000. Its totient is φ = 3335316480.

The previous prime is 13864482683. The next prime is 13864482721. The reversal of 13864482720 is 2728446831.

It is a happy number.

13864482720 is a `hidden beast` number, since 138 + 6 + 448 + 2 + 72 + 0 = 666.

13864482720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13864482720³ (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (13864482721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6604231 + ... + 6606329.

It is an arithmetic number, because the mean of its divisors is an integer number (138915000).

Almost surely, 2^13864482720 is an apocalyptic number.

13864482720 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 13864482720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26671680000).

13864482720 is an abundant number, since it is smaller than the sum of its proper divisors (39478877280).

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

13864482720 is a wasteful number, since it uses less digits than its factorization.

13864482720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 13864482720 in words is "thirteen billion, eight hundred sixty-four million, four hundred eighty-two thousand, seven hundred twenty".