9225489646800 has 360 divisors, whose sum is σ = 36667656207104. Its totient is φ = 2104126295040.

The previous prime is 9225489646783. The next prime is 9225489646801. The reversal of 9225489646800 is 86469845229.

9225489646800 is a `hidden beast` number, since 9 + 2 + 2 + 548 + 9 + 6 + 4 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9225489646801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11272254 + ... + 12062946.

Almost surely, 2^{9225489646800} is an apocalyptic number.

9225489646800 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 9225489646800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18333828103552).

9225489646800 is an abundant number, since it is smaller than the sum of its proper divisors (27442166560304).

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

9225489646800 is a wasteful number, since it uses less digits than its factorization.

9225489646800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791187 (or 791173 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 9225489646800 in words is "nine trillion, two hundred twenty-five billion, four hundred eighty-nine million, six hundred forty-six thousand, eight hundred".