14809777344 has 224 divisors, whose sum is σ = 44434150400. Its totient is φ = 4836049920.

The previous prime is 14809777337. The next prime is 14809777417. The reversal of 14809777344 is 44377790841.

14809777344 is a `hidden beast` number, since 1 + 480 + 97 + 7 + 73 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21432039 + ... + 21432729.

Almost surely, 2^14809777344 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 14809777344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22217075200).

14809777344 is an abundant number, since it is smaller than the sum of its proper divisors (29624373056).

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

14809777344 is a wasteful number, since it uses less digits than its factorization.

14809777344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 14809777344 in words is "fourteen billion, eight hundred nine million, seven hundred seventy-seven thousand, three hundred forty-four".