9954894144 has 112 divisors (see below), whose sum is σ = 28395086720. Its totient is φ = 3059804160.

The previous prime is 9954894137. The next prime is 9954894281. The reversal of 9954894144 is 4414984599.

It is a happy number.

It is a super-3 number, since 3×9954894144³ (a number of 31 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 3565389 + ... + 3568179.

It is an arithmetic number, because the mean of its divisors is an integer number (253527560).

Almost surely, 2^9954894144 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 9954894144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14197543360).

9954894144 is an abundant number, since it is smaller than the sum of its proper divisors (18440192576).

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

9954894144 is a wasteful number, since it uses less digits than its factorization.

9954894144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248 (or 4238 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 57.

The square root of 9954894144 is about 99774.2158275373. The cubic root of 9954894144 is about 2151.1905534501.

The spelling of 9954894144 in words is "nine billion, nine hundred fifty-four million, eight hundred ninety-four thousand, one hundred forty-four".