14863630400 has 252 divisors, whose sum is σ = 40521320532. Its totient is φ = 5347246080.

The previous prime is 14863630399. The next prime is 14863630409. The reversal of 14863630400 is 403636841.

It can be written as a sum of positive squares in 6 ways, for example, as 1340731456 + 13522898944 = 36616^2 + 116288^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14863630409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14388284 + ... + 14389316.

It is an arithmetic number, because the mean of its divisors is an integer number (160798891).

Almost surely, 2^14863630400 is an apocalyptic number.

14863630400 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 14863630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20260660266).

14863630400 is an abundant number, since it is smaller than the sum of its proper divisors (25657690132).

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

14863630400 is a wasteful number, since it uses less digits than its factorization.

14863630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 14863630400 in words is "fourteen billion, eight hundred sixty-three million, six hundred thirty thousand, four hundred".