9100224000 has 960 divisors, whose sum is σ = 39102890112. Its totient is φ = 1990656000.

The previous prime is 9100223959. The next prime is 9100224017. The reversal of 9100224000 is 4220019.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 149183970 + ... + 149184030.

Almost surely, 2^9100224000 is an apocalyptic number.

9100224000 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 9100224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19551445056).

9100224000 is an abundant number, since it is smaller than the sum of its proper divisors (30002666112).

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

9100224000 is a wasteful number, since it uses less digits than its factorization.

9100224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 9100224000 is about 95395.0942134867. The cubic root of 9100224000 is about 2087.7766088571.

Adding to 9100224000 its reverse (4220019), we get a palindrome (9104444019).

The spelling of 9100224000 in words is "nine billion, one hundred million, two hundred twenty-four thousand".