14985436800 has 384 divisors, whose sum is σ = 53766648000. Its totient is φ = 3653959680.

The previous prime is 14985436793. The next prime is 14985436841. The reversal of 14985436800 is 863458941.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 14985436800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5288184 + ... + 5291016.

Almost surely, 2^14985436800 is an apocalyptic number.

14985436800 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 14985436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26883324000).

14985436800 is an abundant number, since it is smaller than the sum of its proper divisors (38781211200).

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

14985436800 is a wasteful number, since it uses less digits than its factorization.

14985436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 14985436800 in words is "fourteen billion, nine hundred eighty-five million, four hundred thirty-six thousand, eight hundred".