13982803200 has 594 divisors, whose sum is σ = 53317225934. Its totient is φ = 3627970560.

The previous prime is 13982803181. The next prime is 13982803231. The reversal of 13982803200 is 230828931.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2962842624 + 11019960576 = 54432^2 + 104976^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 377913582 + ... + 377913618.

Almost surely, 2^13982803200 is an apocalyptic number.

13982803200 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 13982803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26658612967).

13982803200 is an abundant number, since it is smaller than the sum of its proper divisors (39334422734).

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

13982803200 is an frugal number, since it uses more digits than its factorization.

13982803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 13982803200 in words is "thirteen billion, nine hundred eighty-two million, eight hundred three thousand, two hundred".