9351644016 has 320 divisors, whose sum is σ = 29758095360. Its totient is φ = 2491776000.

The previous prime is 9351644011. The next prime is 9351644033. The reversal of 9351644016 is 6104461539.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9351644011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15107355 + ... + 15107973.

It is an arithmetic number, because the mean of its divisors is an integer number (92994048).

Almost surely, 2^9351644016 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 9351644016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14879047680).

9351644016 is an abundant number, since it is smaller than the sum of its proper divisors (20406451344).

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

9351644016 is a wasteful number, since it uses less digits than its factorization.

9351644016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 9351644016 is about 96703.8986597748. The cubic root of 9351644016 is about 2106.8291671282.

The spelling of 9351644016 in words is "nine billion, three hundred fifty-one million, six hundred forty-four thousand, sixteen".