9444530948832 has 1728 divisors, whose sum is σ = 34982904692736. Its totient is φ = 2401203087360.

The previous prime is 9444530948821. The next prime is 9444530948843. The reversal of 9444530948832 is 2388490354449.

9444530948832 is a `hidden beast` number, since 9 + 4 + 4 + 4 + 530 + 94 + 8 + 8 + 3 + 2 = 666.

9444530948832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9444530948821) and next prime (9444530948843).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 9444530948832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 35910763933 + ... + 35910764195.

It is an arithmetic number, because the mean of its divisors is an integer number (20244736512).

Almost surely, 2^{9444530948832} is an apocalyptic number.

9444530948832 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9444530948832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17491452346368).

9444530948832 is an abundant number, since it is smaller than the sum of its proper divisors (25538373743904).

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

9444530948832 is a wasteful number, since it uses less digits than its factorization.

9444530948832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 9444530948832 in words is "nine trillion, four hundred forty-four billion, five hundred thirty million, nine hundred forty-eight thousand, eight hundred thirty-two".