8814848640 has 384 divisors, whose sum is σ = 31140910080. Its totient is φ = 2108252160.

The previous prime is 8814848633. The next prime is 8814848701. The reversal of 8814848640 is 468484188.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×8814848640² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 46150945 + ... + 46151135.

It is an arithmetic number, because the mean of its divisors is an integer number (81096120).

Almost surely, 2^8814848640 is an apocalyptic number.

8814848640 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 8814848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15570455040).

8814848640 is an abundant number, since it is smaller than the sum of its proper divisors (22326061440).

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

8814848640 is a wasteful number, since it uses less digits than its factorization.

8814848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 51.

The square root of 8814848640 is about 93887.4253561146. The cubic root of 8814848640 is about 2065.7207871779.

The spelling of 8814848640 in words is "eight billion, eight hundred fourteen million, eight hundred forty-eight thousand, six hundred forty".