14821323840 has 448 divisors, whose sum is σ = 54539205120. Its totient is φ = 3785564160.

The previous prime is 14821323833. The next prime is 14821323871. The reversal of 14821323840 is 4832312841.

It is a happy number.

14821323840 is a `hidden beast` number, since 1 + 482 + 132 + 3 + 8 + 40 = 666.

14821323840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 14821323795 and 14821323804.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 22696954 + ... + 22697606.

Almost surely, 2^14821323840 is an apocalyptic number.

14821323840 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 14821323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27269602560).

14821323840 is an abundant number, since it is smaller than the sum of its proper divisors (39717881280).

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

14821323840 is a wasteful number, since it uses less digits than its factorization.

14821323840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 14821323840 in words is "fourteen billion, eight hundred twenty-one million, three hundred twenty-three thousand, eight hundred forty".