14893848000 has 448 divisors, whose sum is σ = 55717683840. Its totient is φ = 3893760000.

The previous prime is 14893847971. The next prime is 14893848017. The reversal of 14893848000 is 84839841.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11447350 + ... + 11448650.

It is an arithmetic number, because the mean of its divisors is an integer number (124369830).

Almost surely, 2^14893848000 is an apocalyptic number.

14893848000 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 14893848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27858841920).

14893848000 is an abundant number, since it is smaller than the sum of its proper divisors (40823835840).

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

14893848000 is a wasteful number, since it uses less digits than its factorization.

14893848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 14893848000 in words is "fourteen billion, eight hundred ninety-three million, eight hundred forty-eight thousand".