8238033613056 has 432 divisors, whose sum is σ = 24873919365120. Its totient is φ = 2416321290240.

The previous prime is 8238033613049. The next prime is 8238033613127. The reversal of 8238033613056 is 6503163308328.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 8238033612996 and 8238033613014.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269562705 + ... + 269593263.

Almost surely, 2^{8238033613056} 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 8238033613056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12436959682560).

8238033613056 is an abundant number, since it is smaller than the sum of its proper divisors (16635885752064).

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

8238033613056 is a wasteful number, since it uses less digits than its factorization.

8238033613056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30702 (or 30675 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 8238033613056 in words is "eight trillion, two hundred thirty-eight billion, thirty-three million, six hundred thirteen thousand, fifty-six".