14118864480 has 288 divisors, whose sum is σ = 58303312704. Its totient is φ = 3037298688.

The previous prime is 14118864467. The next prime is 14118864481. The reversal of 14118864480 is 8446881141.

14118864480 is a `hidden beast` number, since 14 + 118 + 86 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14118864481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130164 + ... + 212556.

It is an arithmetic number, because the mean of its divisors is an integer number (202442058).

Almost surely, 2^14118864480 is an apocalyptic number.

14118864480 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 14118864480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29151656352).

14118864480 is an abundant number, since it is smaller than the sum of its proper divisors (44184448224).

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

14118864480 is a wasteful number, since it uses less digits than its factorization.

14118864480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82438 (or 82427 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 14118864480 in words is "fourteen billion, one hundred eighteen million, eight hundred sixty-four thousand, four hundred eighty".