14712264400 has 60 divisors (see below), whose sum is σ = 35471386432. Its totient is φ = 5864065920.

The previous prime is 14712264337. The next prime is 14712264401. The reversal of 14712264400 is 446221741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14712264401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48217 + ... + 178183.

Almost surely, 2^14712264400 is an apocalyptic number.

14712264400 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 14712264400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17735693216).

14712264400 is an abundant number, since it is smaller than the sum of its proper divisors (20759122032).

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

14712264400 is a wasteful number, since it uses less digits than its factorization.

14712264400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130268 (or 130257 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The spelling of 14712264400 in words is "fourteen billion, seven hundred twelve million, two hundred sixty-four thousand, four hundred".