14461108480 has 576 divisors, whose sum is σ = 46234298880. Its totient is φ = 4204265472.

The previous prime is 14461108423. The next prime is 14461108499. The reversal of 14461108480 is 8480116441.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132670666 + ... + 132670774.

It is an arithmetic number, because the mean of its divisors is an integer number (80267880).

Almost surely, 2^14461108480 is an apocalyptic number.

14461108480 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 14461108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23117149440).

14461108480 is an abundant number, since it is smaller than the sum of its proper divisors (31773190400).

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

14461108480 is a wasteful number, since it uses less digits than its factorization.

14461108480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The spelling of 14461108480 in words is "fourteen billion, four hundred sixty-one million, one hundred eight thousand, four hundred eighty".