9899145360 has 240 divisors, whose sum is σ = 37037473200. Its totient is φ = 2352623616.

The previous prime is 9899145349. The next prime is 9899145367. The reversal of 9899145360 is 635419989.

9899145360 is a `hidden beast` number, since 9 + 8 + 99 + 14 + 536 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1066153104 + 8832992256 = 32652^2 + 93984^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 9899145297 and 9899145306.

It is not an unprimeable number, because it can be changed into a prime (9899145367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253206 + ... + 289674.

It is an arithmetic number, because the mean of its divisors is an integer number (154322805).

Almost surely, 2^9899145360 is an apocalyptic number.

9899145360 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 9899145360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18518736600).

9899145360 is an abundant number, since it is smaller than the sum of its proper divisors (27138327840).

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

9899145360 is a wasteful number, since it uses less digits than its factorization.

9899145360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36530 (or 36521 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 9899145360 is about 99494.4488903778. The cubic root of 9899145360 is about 2147.1673790948.

The spelling of 9899145360 in words is "nine billion, eight hundred ninety-nine million, one hundred forty-five thousand, three hundred sixty".