14304300480 has 336 divisors, whose sum is σ = 54840408480. Its totient is φ = 3400925184.

The previous prime is 14304300473. The next prime is 14304300509. The reversal of 14304300480 is 8400340341.

14304300480 is a `hidden beast` number, since 14 + 304 + 300 + 48 + 0 = 666.

It is a super-2 number, since 2×14304300480² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 922552 + ... + 937928.

Almost surely, 2^14304300480 is an apocalyptic number.

14304300480 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 14304300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27420204240).

14304300480 is an abundant number, since it is smaller than the sum of its proper divisors (40536108000).

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

14304300480 is a wasteful number, since it uses less digits than its factorization.

14304300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15436 (or 15423 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 14304300480 in words is "fourteen billion, three hundred four million, three hundred thousand, four hundred eighty".