14385814494480 has 2400 divisors, whose sum is σ = 62275924085760. Its totient is φ = 3053019340800.

The previous prime is 14385814494451. The next prime is 14385814494481. The reversal of 14385814494480 is 8449441858341.

14385814494480 is a `hidden beast` number, since 1 + 4 + 3 + 8 + 5 + 8 + 144 + 9 + 4 + 480 = 666.

14385814494480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14385814494481) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 16747164291 + ... + 16747165149.

Almost surely, 2^{14385814494480} is an apocalyptic number.

14385814494480 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 14385814494480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31137962042880).

14385814494480 is an abundant number, since it is smaller than the sum of its proper divisors (47890109591280).

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

14385814494480 is a wasteful number, since it uses less digits than its factorization.

14385814494480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 14385814494480 in words is "fourteen trillion, three hundred eighty-five billion, eight hundred fourteen million, four hundred ninety-four thousand, four hundred eighty".