9450616416384 has 384 divisors, whose sum is σ = 30440137472640. Its totient is φ = 2579045990400.

The previous prime is 9450616416383. The next prime is 9450616416389. The reversal of 9450616416384 is 4836146160549.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×9450616416384³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (9450616416383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24574509 + ... + 24956115.

It is an arithmetic number, because the mean of its divisors is an integer number (79271191335).

Almost surely, 2^{9450616416384} 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 9450616416384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15220068736320).

9450616416384 is an abundant number, since it is smaller than the sum of its proper divisors (20989521056256).

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

9450616416384 is a wasteful number, since it uses less digits than its factorization.

9450616416384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381700 (or 381677 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 9450616416384 in words is "nine trillion, four hundred fifty billion, six hundred sixteen million, four hundred sixteen thousand, three hundred eighty-four".