16414765484850 has 288 divisors, whose sum is σ = 45107869697280. Its totient is φ = 4278261888000.

The previous prime is 16414765484833. The next prime is 16414765484863. The reversal of 16414765484850 is 5848456741461.

It is a happy number.

16414765484850 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 4 + 7 + 6 + 548 + 4 + 85 + 0 = 666.

16414765484850 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3892519942 + ... + 3892524158.

It is an arithmetic number, because the mean of its divisors is an integer number (156624547560).

Almost surely, 2^{16414765484850} is an apocalyptic number.

16414765484850 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 16414765484850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22553934848640).

16414765484850 is an abundant number, since it is smaller than the sum of its proper divisors (28693104212430).

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

16414765484850 is a wasteful number, since it uses less digits than its factorization.

16414765484850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5106 (or 5098 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 16414765484850 in words is "sixteen trillion, four hundred fourteen billion, seven hundred sixty-five million, four hundred eighty-four thousand, eight hundred fifty".