14811144480 has 576 divisors, whose sum is σ = 60076598400. Its totient is φ = 3282370560.

The previous prime is 14811144479. The next prime is 14811144487. The reversal of 14811144480 is 8444111841.

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

It is not an unprimeable number, because it can be changed into a prime (14811144487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8726992 + ... + 8728688.

It is an arithmetic number, because the mean of its divisors is an integer number (104299650).

Almost surely, 2^14811144480 is an apocalyptic number.

14811144480 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 14811144480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30038299200).

14811144480 is an abundant number, since it is smaller than the sum of its proper divisors (45265453920).

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

14811144480 is a wasteful number, since it uses less digits than its factorization.

14811144480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 14811144480 in words is "fourteen billion, eight hundred eleven million, one hundred forty-four thousand, four hundred eighty".