9188734464 has 480 divisors, whose sum is σ = 34585911360. Its totient is φ = 2279079936.

The previous prime is 9188734433. The next prime is 9188734487. The reversal of 9188734464 is 4644378819.

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 9188734464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7127932 + ... + 7129220.

It is an arithmetic number, because the mean of its divisors is an integer number (72053982).

Almost surely, 2^9188734464 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 9188734464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17292955680).

9188734464 is an abundant number, since it is smaller than the sum of its proper divisors (25397176896).

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

9188734464 is a wasteful number, since it uses less digits than its factorization.

9188734464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1331 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 9188734464 is about 95857.8868116755. The cubic root of 9188734464 is about 2094.5234827767.

The spelling of 9188734464 in words is "nine billion, one hundred eighty-eight million, seven hundred thirty-four thousand, four hundred sixty-four".