14114580480 has 1920 divisors, whose sum is σ = 71922090240. Its totient is φ = 2548039680.

The previous prime is 14114580449. The next prime is 14114580541. The reversal of 14114580480 is 8408541141.

14114580480 is a `hidden beast` number, since 14 + 114 + 58 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 5304 × 504 × 5280.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 830269432 + ... + 830269448.

It is an arithmetic number, because the mean of its divisors is an integer number (37459422).

Almost surely, 2^14114580480 is an apocalyptic number.

14114580480 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 14114580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35961045120).

14114580480 is an abundant number, since it is smaller than the sum of its proper divisors (57807509760).

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

14114580480 is a wasteful number, since it uses less digits than its factorization.

14114580480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 14114580480 in words is "fourteen billion, one hundred fourteen million, five hundred eighty thousand, four hundred eighty".