14982103200 has 144 divisors (see below), whose sum is σ = 49140042336. Its totient is φ = 3964646400.

The previous prime is 14982103187. The next prime is 14982103207. The reversal of 14982103200 is 230128941.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (14982103207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290574 + ... + 338226.

It is an arithmetic number, because the mean of its divisors is an integer number (341250294).

Almost surely, 2^14982103200 is an apocalyptic number.

14982103200 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 14982103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24570021168).

14982103200 is an abundant number, since it is smaller than the sum of its proper divisors (34157939136).

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

14982103200 is a wasteful number, since it uses less digits than its factorization.

14982103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47807 (or 47794 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 14982103200 in words is "fourteen billion, nine hundred eighty-two million, one hundred three thousand, two hundred".