14284902094848 has 1152 divisors, whose sum is σ = 53928264499200. Its totient is φ = 3532264243200.

The previous prime is 14284902094843. The next prime is 14284902094861. The reversal of 14284902094848 is 84849020948241.

14284902094848 is a `hidden beast` number, since 1 + 42 + 8 + 4 + 90 + 20 + 9 + 484 + 8 = 666.

14284902094848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14284902094843) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7801693293 + ... + 7801695123.

It is an arithmetic number, because the mean of its divisors is an integer number (46812729600).

Almost surely, 2^{14284902094848} is an apocalyptic number.

14284902094848 is a gapful number since it is divisible by the number (18) 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 14284902094848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26964132249600).

14284902094848 is an abundant number, since it is smaller than the sum of its proper divisors (39643362404352).

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

14284902094848 is a wasteful number, since it uses less digits than its factorization.

14284902094848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 14284902094848 in words is "fourteen trillion, two hundred eighty-four billion, nine hundred two million, ninety-four thousand, eight hundred forty-eight".