14468480000 has 440 divisors, whose sum is σ = 40824581952. Its totient is φ = 5087232000.

The previous prime is 14468479957. The next prime is 14468480023. The reversal of 14468480000 is 8486441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 307839977 + ... + 307840023.

Almost surely, 2^14468480000 is an apocalyptic number.

14468480000 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 14468480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20412290976).

14468480000 is an abundant number, since it is smaller than the sum of its proper divisors (26356101952).

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

14468480000 is an equidigital number, since it uses as much as digits as its factorization.

14468480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The spelling of 14468480000 in words is "fourteen billion, four hundred sixty-eight million, four hundred eighty thousand".