8923434984 has 80 divisors (see below), whose sum is σ = 25223381700. Its totient is φ = 2947166208.

The previous prime is 8923434983. The next prime is 8923435007. The reversal of 8923434984 is 4894343298.

8923434984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7954856100 + 968578884 = 89190^2 + 31122^2 .

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 self number, because there is not a number n which added to its sum of digits gives 8923434984.

It is not an unprimeable number, because it can be changed into a prime (8923434983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7464 + ... + 133800.

Almost surely, 2^8923434984 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 8923434984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12611690850).

8923434984 is an abundant number, since it is smaller than the sum of its proper divisors (16299946716).

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

8923434984 is a wasteful number, since it uses less digits than its factorization.

8923434984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126464 (or 126451 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 8923434984 is about 94463.9348322946. The cubic root of 8923434984 is about 2074.1684370257.

The spelling of 8923434984 in words is "eight billion, nine hundred twenty-three million, four hundred thirty-four thousand, nine hundred eighty-four".