38198922645216 has 192 divisors, whose sum is σ = 104442762977280. Its totient is φ = 12210845982720.

The previous prime is 38198922645187. The next prime is 38198922645251. The reversal of 38198922645216 is 61254622989183.

38198922645216 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2915274121 + ... + 2915287223.

It is an arithmetic number, because the mean of its divisors is an integer number (543972723840).

Almost surely, 2^{38198922645216} 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 38198922645216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52221381488640).

38198922645216 is an abundant number, since it is smaller than the sum of its proper divisors (66243840332064).

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

38198922645216 is a wasteful number, since it uses less digits than its factorization.

38198922645216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21929 (or 21921 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 66.

The spelling of 38198922645216 in words is "thirty-eight trillion, one hundred ninety-eight billion, nine hundred twenty-two million, six hundred forty-five thousand, two hundred sixteen".