14308845282990 has 192 divisors, whose sum is σ = 39109449480192. Its totient is φ = 3625063200000.

The previous prime is 14308845282989. The next prime is 14308845283079. The reversal of 14308845282990 is 9928254880341.

14308845282990 is a `hidden beast` number, since 1 + 4 + 3 + 0 + 8 + 84 + 528 + 29 + 9 + 0 = 666.

14308845282990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54639865 + ... + 54901115.

It is an arithmetic number, because the mean of its divisors is an integer number (203695049376).

Almost surely, 2^{14308845282990} is an apocalyptic number.

14308845282990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14308845282990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19554724740096).

14308845282990 is an abundant number, since it is smaller than the sum of its proper divisors (24800604197202).

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

14308845282990 is a wasteful number, since it uses less digits than its factorization.

14308845282990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261655 (or 261652 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 14308845282990 in words is "fourteen trillion, three hundred eight billion, eight hundred forty-five million, two hundred eighty-two thousand, nine hundred ninety".