14768384400 has 1440 divisors, whose sum is σ = 69413414400. Its totient is φ = 2946585600.

The previous prime is 14768384369. The next prime is 14768384431. The reversal of 14768384400 is 448386741.

14768384400 is a `hidden beast` number, since 147 + 68 + 3 + 8 + 440 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14768384369) and next prime (14768384431).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 250311571 + ... + 250311629.

It is an arithmetic number, because the mean of its divisors is an integer number (48203760).

Almost surely, 2^14768384400 is an apocalyptic number.

14768384400 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 14768384400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34706707200).

14768384400 is an abundant number, since it is smaller than the sum of its proper divisors (54645030000).

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

14768384400 is a wasteful number, since it uses less digits than its factorization.

14768384400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 14768384400 in words is "fourteen billion, seven hundred sixty-eight million, three hundred eighty-four thousand, four hundred".