14674055680 has 320 divisors, whose sum is σ = 39067142400. Its totient is φ = 5264179200.

The previous prime is 14674055657. The next prime is 14674055681. The reversal of 14674055680 is 8655047641.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 14674055680.

It is not an unprimeable number, because it can be changed into a prime (14674055681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142466509 + ... + 142466611.

It is an arithmetic number, because the mean of its divisors is an integer number (122084820).

Almost surely, 2^14674055680 is an apocalyptic number.

14674055680 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 14674055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19533571200).

14674055680 is an abundant number, since it is smaller than the sum of its proper divisors (24393086720).

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

14674055680 is a wasteful number, since it uses less digits than its factorization.

14674055680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 14674055680 in words is "fourteen billion, six hundred seventy-four million, fifty-five thousand, six hundred eighty".