9445161600 has 1152 divisors, whose sum is σ = 42391036800. Its totient is φ = 2043740160.

The previous prime is 9445161581. The next prime is 9445161601. The reversal of 9445161600 is 61615449.

9445161600 is a `hidden beast` number, since 9 + 4 + 45 + 1 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×9445161600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9445161601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 97372752 + ... + 97372848.

It is an arithmetic number, because the mean of its divisors is an integer number (36797775).

Almost surely, 2^9445161600 is an apocalyptic number.

9445161600 is a gapful number since it is divisible by the number (90) 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 9445161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21195518400).

9445161600 is an abundant number, since it is smaller than the sum of its proper divisors (32945875200).

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

9445161600 is a wasteful number, since it uses less digits than its factorization.

9445161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 9445161600 is about 97186.2212456066. The cubic root of 9445161600 is about 2113.8287363266.

The spelling of 9445161600 in words is "nine billion, four hundred forty-five million, one hundred sixty-one thousand, six hundred".