14930782080 has 128 divisors (see below), whose sum is σ = 47678716800. Its totient is φ = 3974277120.

The previous prime is 14930782067. The next prime is 14930782091. The reversal of 14930782080 is 8028703941.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1089511 + ... + 1103129.

It is an arithmetic number, because the mean of its divisors is an integer number (372489975).

Almost surely, 2^14930782080 is an apocalyptic number.

14930782080 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 14930782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23839358400).

14930782080 is an abundant number, since it is smaller than the sum of its proper divisors (32747934720).

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

14930782080 is a wasteful number, since it uses less digits than its factorization.

14930782080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14212 (or 14200 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 14930782080 in words is "fourteen billion, nine hundred thirty million, seven hundred eighty-two thousand, eighty".