6102238322016 has 144 divisors (see below), whose sum is σ = 17953027943760. Its totient is φ = 1963785600000.

The previous prime is 6102238322003. The next prime is 6102238322017.

6102238322016 is a `hidden beast` number, since 610 + 2 + 2 + 3 + 8 + 3 + 2 + 20 + 16 = 666.

6102238322016 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6102238322017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162703266 + ... + 162740766.

It is an arithmetic number, because the mean of its divisors is an integer number (124673805165).

Almost surely, 2^{6102238322016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6102238322016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8976513971880).

6102238322016 is an abundant number, since it is smaller than the sum of its proper divisors (11850789621744).

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

6102238322016 is a wasteful number, since it uses less digits than its factorization.

6102238322016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57029 (or 57018 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 6102238322016 in words is "six trillion, one hundred two billion, two hundred thirty-eight million, three hundred twenty-two thousand, sixteen".