14983987200 has 768 divisors, whose sum is σ = 61890205440. Its totient is φ = 3114270720.

The previous prime is 14983987129. The next prime is 14983987219. The reversal of 14983987200 is 278938941.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 223641567 + ... + 223641633.

It is an arithmetic number, because the mean of its divisors is an integer number (80586205).

Almost surely, 2^14983987200 is an apocalyptic number.

14983987200 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 14983987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30945102720).

14983987200 is an abundant number, since it is smaller than the sum of its proper divisors (46906218240).

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

14983987200 is an equidigital number, since it uses as much as digits as its factorization.

14983987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 14983987200 in words is "fourteen billion, nine hundred eighty-three million, nine hundred eighty-seven thousand, two hundred".