9144993312 has 480 divisors, whose sum is σ = 33461188992. Its totient is φ = 2385801216.

The previous prime is 9144993307. The next prime is 9144993337. The reversal of 9144993312 is 2133994419.

9144993312 is a `hidden beast` number, since 91 + 449 + 93 + 31 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32314323 + ... + 32314605.

Almost surely, 2^9144993312 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 9144993312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16730594496).

9144993312 is an abundant number, since it is smaller than the sum of its proper divisors (24316195680).

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

9144993312 is a wasteful number, since it uses less digits than its factorization.

9144993312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 445 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 9144993312 is about 95629.4583901844. The cubic root of 9144993312 is about 2091.1946736162.

The spelling of 9144993312 in words is "nine billion, one hundred forty-four million, nine hundred ninety-three thousand, three hundred twelve".