9141655600 has 360 divisors, whose sum is σ = 28199199600. Its totient is φ = 2815948800.

The previous prime is 9141655597. The next prime is 9141655603. The reversal of 9141655600 is 65561419.

It is an interprime number because it is at equal distance from previous prime (9141655597) and next prime (9141655603).

It is a super-2 number, since 2×9141655600² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9141655600.

It is not an unprimeable number, because it can be changed into a prime (9141655603) 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 71 ways as a sum of consecutive naturals, for example, 23500206 + ... + 23500594.

It is an arithmetic number, because the mean of its divisors is an integer number (78331110).

Almost surely, 2^9141655600 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 9141655600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14099599800).

9141655600 is an abundant number, since it is smaller than the sum of its proper divisors (19057544000).

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

9141655600 is a wasteful number, since it uses less digits than its factorization.

9141655600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 9141655600 is about 95612.0055223192. The cubic root of 9141655600 is about 2090.9402300226.

The spelling of 9141655600 in words is "nine billion, one hundred forty-one million, six hundred fifty-five thousand, six hundred".