9718398144 has 672 divisors, whose sum is σ = 36565636800. Its totient is φ = 2539579392.

The previous prime is 9718398091. The next prime is 9718398187. The reversal of 9718398144 is 4418938179.

It is a tau number, because it is divible by the number of its divisors (672).

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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89159562 + ... + 89159670.

It is an arithmetic number, because the mean of its divisors is an integer number (54413150).

Almost surely, 2^9718398144 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 9718398144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18282818400).

9718398144 is an abundant number, since it is smaller than the sum of its proper divisors (26847238656).

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

9718398144 is a wasteful number, since it uses less digits than its factorization.

9718398144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 134 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 9718398144 is about 98581.9361952280. The cubic root of 9718398144 is about 2134.0187410500.

The spelling of 9718398144 in words is "nine billion, seven hundred eighteen million, three hundred ninety-eight thousand, one hundred forty-four".