14545286400 has 432 divisors, whose sum is σ = 50275532160. Its totient is φ = 3698688000.

The previous prime is 14545286389. The next prime is 14545286401. The reversal of 14545286400 is 468254541.

It is a happy number.

14545286400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14545286401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84076714 + ... + 84076886.

Almost surely, 2^14545286400 is an apocalyptic number.

14545286400 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 14545286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25137766080).

14545286400 is an abundant number, since it is smaller than the sum of its proper divisors (35730245760).

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

14545286400 is a wasteful number, since it uses less digits than its factorization.

14545286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The spelling of 14545286400 in words is "fourteen billion, five hundred forty-five million, two hundred eighty-six thousand, four hundred".