14780934144 has 144 divisors (see below), whose sum is σ = 42831603360. Its totient is φ = 4910653440.

The previous prime is 14780934139. The next prime is 14780934163. The reversal of 14780934144 is 44143908741.

14780934144 is a `hidden beast` number, since 1 + 478 + 0 + 9 + 34 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 14780934144.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6394749 + ... + 6397059.

It is an arithmetic number, because the mean of its divisors is an integer number (297441690).

Almost surely, 2^14780934144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14780934144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21415801680).

14780934144 is an abundant number, since it is smaller than the sum of its proper divisors (28050669216).

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

14780934144 is a wasteful number, since it uses less digits than its factorization.

14780934144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 14780934144 in words is "fourteen billion, seven hundred eighty million, nine hundred thirty-four thousand, one hundred forty-four".