8338837248 has 540 divisors, whose sum is σ = 30027606840. Its totient is φ = 2292240384.

The previous prime is 8338837201. The next prime is 8338837271. The reversal of 8338837248 is 8427388338.

It is a super-3 number, since 3×8338837248³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8338837194 and 8338837203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29465715 + ... + 29465997.

Almost surely, 2^8338837248 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 8338837248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15013803420).

8338837248 is an abundant number, since it is smaller than the sum of its proper divisors (21688769592).

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

8338837248 is a wasteful number, since it uses less digits than its factorization.

8338837248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 324 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 8338837248 is about 91317.2341236855. The cubic root of 8338837248 is about 2027.8469125715.

The spelling of 8338837248 in words is "eight billion, three hundred thirty-eight million, eight hundred thirty-seven thousand, two hundred forty-eight".