14806721400 has 192 divisors, whose sum is σ = 48138213600. Its totient is φ = 3759759360.

The previous prime is 14806721359. The next prime is 14806721417. The reversal of 14806721400 is 412760841.

14806721400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1264372 + ... + 1276028.

Almost surely, 2^14806721400 is an apocalyptic number.

14806721400 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 14806721400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24069106800).

14806721400 is an abundant number, since it is smaller than the sum of its proper divisors (33331492200).

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

14806721400 is a wasteful number, since it uses less digits than its factorization.

14806721400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11778 (or 11769 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 14806721400 in words is "fourteen billion, eight hundred six million, seven hundred twenty-one thousand, four hundred".