14363400456 has 96 divisors (see below), whose sum is σ = 40648608000. Its totient is φ = 4573274112.

The previous prime is 14363400431. The next prime is 14363400461. The reversal of 14363400456 is 65400436341.

14363400456 is a `hidden beast` number, since 14 + 3 + 634 + 0 + 0 + 4 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14363400456.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1267825 + ... + 1279103.

It is an arithmetic number, because the mean of its divisors is an integer number (423423000).

Almost surely, 2^14363400456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14363400456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20324304000).

14363400456 is an abundant number, since it is smaller than the sum of its proper divisors (26285207544).

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

14363400456 is a wasteful number, since it uses less digits than its factorization.

14363400456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12083 (or 12076 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 14363400456 its reverse (65400436341), we get a palindrome (79763836797).

The spelling of 14363400456 in words is "fourteen billion, three hundred sixty-three million, four hundred thousand, four hundred fifty-six".