8468748288 has 1152 divisors, whose sum is σ = 36060111360. Its totient is φ = 1911029760.

The previous prime is 8468748269. The next prime is 8468748311. The reversal of 8468748288 is 8828478648.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 498161656 + ... + 498161672.

It is an arithmetic number, because the mean of its divisors is an integer number (31302180).

Almost surely, 2^8468748288 is an apocalyptic number.

8468748288 is a gapful number since it is divisible by the number (88) 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 8468748288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18030055680).

8468748288 is an abundant number, since it is smaller than the sum of its proper divisors (27591363072).

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

8468748288 is a wasteful number, since it uses less digits than its factorization.

8468748288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 53 counting only the distinct ones).

The product of its digits is 44040192, while the sum is 63.

The square root of 8468748288 is about 92025.8022947912. The cubic root of 8468748288 is about 2038.3233282068.

The spelling of 8468748288 in words is "eight billion, four hundred sixty-eight million, seven hundred forty-eight thousand, two hundred eighty-eight".