9312006144 has 208 divisors, whose sum is σ = 28784091392. Its totient is φ = 2622357504.

The previous prime is 9312006103. The next prime is 9312006149. The reversal of 9312006144 is 4416002139.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9312006149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6278427 + ... + 6279909.

Almost surely, 2^9312006144 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 9312006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14392045696).

9312006144 is an abundant number, since it is smaller than the sum of its proper divisors (19472085248).

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

9312006144 is a wasteful number, since it uses less digits than its factorization.

9312006144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 9312006144 is about 96498.7364891375. The cubic root of 9312006144 is about 2103.8482833346.

The spelling of 9312006144 in words is "nine billion, three hundred twelve million, six thousand, one hundred forty-four".