9995382144 has 144 divisors (see below), whose sum is σ = 31615698660. Its totient is φ = 3028861440.

The previous prime is 9995382143. The next prime is 9995382181. The reversal of 9995382144 is 4412835999.

9995382144 is a `hidden beast` number, since 9 + 99 + 538 + 2 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9995382143) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103539 + ... + 175245.

Almost surely, 2^9995382144 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 9995382144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15807849330).

9995382144 is an abundant number, since it is smaller than the sum of its proper divisors (21620316516).

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

9995382144 is a wasteful number, since it uses less digits than its factorization.

9995382144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71749 (or 71723 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 9995382144 is about 99976.9080538101. The cubic root of 9995382144 is about 2154.1030099996.

The spelling of 9995382144 in words is "nine billion, nine hundred ninety-five million, three hundred eighty-two thousand, one hundred forty-four".