8848344960 has 1024 divisors, whose sum is σ = 40961894400. Its totient is φ = 1751777280.

The previous prime is 8848344959. The next prime is 8848344997. The reversal of 8848344960 is 694438488.

8848344960 is a `hidden beast` number, since 88 + 48 + 34 + 496 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 8848344897 and 8848344906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26731995 + ... + 26732325.

It is an arithmetic number, because the mean of its divisors is an integer number (40001850).

Almost surely, 2^8848344960 is an apocalyptic number.

8848344960 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 8848344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20480947200).

8848344960 is an abundant number, since it is smaller than the sum of its proper divisors (32113549440).

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

8848344960 is a wasteful number, since it uses less digits than its factorization.

8848344960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The square root of 8848344960 is about 94065.6417614848. The cubic root of 8848344960 is about 2068.3340513184.

The spelling of 8848344960 in words is "eight billion, eight hundred forty-eight million, three hundred forty-four thousand, nine hundred sixty".