9015145600 has 96 divisors (see below), whose sum is σ = 22813735140. Its totient is φ = 3518054400.

The previous prime is 9015145589. The next prime is 9015145609. The reversal of 9015145600 is 65415109.

It can be written as a sum of positive squares in 6 ways, for example, as 853107264 + 8162038336 = 29208^2 + 90344^2 .

It is a super-3 number, since 3×9015145600³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (9015145609) 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 11 ways as a sum of consecutive naturals, for example, 96844 + ... + 165556.

Almost surely, 2^9015145600 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 9015145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11406867570).

9015145600 is an abundant number, since it is smaller than the sum of its proper divisors (13798589540).

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

9015145600 is a wasteful number, since it uses less digits than its factorization.

9015145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68778 (or 68761 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 9015145600 is about 94948.1205711835. The cubic root of 9015145600 is about 2081.2499883066.

The spelling of 9015145600 in words is "nine billion, fifteen million, one hundred forty-five thousand, six hundred".