9001448100 has 108 divisors (see below), whose sum is σ = 28488759936. Its totient is φ = 2377056960.

The previous prime is 9001448077. The next prime is 9001448101. The reversal of 9001448100 is 18441009.

It is a super-2 number, since 2×9001448100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9001448101) 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 35 ways as a sum of consecutive naturals, for example, 44149 + ... + 141251.

Almost surely, 2^9001448100 is an apocalyptic number.

9001448100 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 9001448100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14244379968).

9001448100 is an abundant number, since it is smaller than the sum of its proper divisors (19487311836).

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

9001448100 is a wasteful number, since it uses less digits than its factorization.

9001448100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97226 (or 97216 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 9001448100 is about 94875.9616552054. The cubic root of 9001448100 is about 2080.1953788980.

Adding to 9001448100 its reverse (18441009), we get a palindrome (9019889109).

The spelling of 9001448100 in words is "nine billion, one million, four hundred forty-eight thousand, one hundred".