6133982806848 has 448 divisors, whose sum is σ = 18667057570560. Its totient is φ = 1763710599168.

The previous prime is 6133982806781. The next prime is 6133982806849. The reversal of 6133982806848 is 8486082893316.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6133982806849) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 516888211 + ... + 516900077.

It is an arithmetic number, because the mean of its divisors is an integer number (41667539220).

Almost surely, 2^{6133982806848} 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 6133982806848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9333528785280).

6133982806848 is an abundant number, since it is smaller than the sum of its proper divisors (12533074763712).

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

6133982806848 is a wasteful number, since it uses less digits than its factorization.

6133982806848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12154 (or 12144 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 66.

The spelling of 6133982806848 in words is "six trillion, one hundred thirty-three billion, nine hundred eighty-two million, eight hundred six thousand, eight hundred forty-eight".