8848316400 has 960 divisors, whose sum is σ = 38579245056. Its totient is φ = 1677312000.

The previous prime is 8848316381. The next prime is 8848316423. The reversal of 8848316400 is 46138488.

It is a super-2 number, since 2×8848316400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67544335 + ... + 67544465.

Almost surely, 2^8848316400 is an apocalyptic number.

8848316400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8848316400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19289622528).

8848316400 is an abundant number, since it is smaller than the sum of its proper divisors (29730928656).

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

8848316400 is a wasteful number, since it uses less digits than its factorization.

8848316400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 8848316400 is about 94065.4899524794. The cubic root of 8848316400 is about 2068.3318259801.

The spelling of 8848316400 in words is "eight billion, eight hundred forty-eight million, three hundred sixteen thousand, four hundred".