14468657280 has 1152 divisors, whose sum is σ = 62355847680. Its totient is φ = 2838528000.

The previous prime is 14468657257. The next prime is 14468657299. The reversal of 14468657280 is 8275686441.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 352894060 + ... + 352894100.

It is an arithmetic number, because the mean of its divisors is an integer number (54128340).

Almost surely, 2^14468657280 is an apocalyptic number.

14468657280 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 14468657280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31177923840).

14468657280 is an abundant number, since it is smaller than the sum of its proper divisors (47887190400).

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

14468657280 is a wasteful number, since it uses less digits than its factorization.

14468657280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 14468657280 in words is "fourteen billion, four hundred sixty-eight million, six hundred fifty-seven thousand, two hundred eighty".