9213835284900 has 405 divisors, whose sum is σ = 30959666588851. Its totient is φ = 2370258011520.

The previous prime is 9213835284877. The next prime is 9213835284991. The reversal of 9213835284900 is 94825383129.

The square root of 9213835284900 is 3035430.

It is a perfect power (a square), and thus also a powerful number.

9213835284900 is a `hidden beast` number, since 9 + 21 + 3 + 8 + 3 + 528 + 4 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 126649150884 + 9087186134016 = 355878^2 + 3014496^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7922471719 + ... + 7922472881.

Almost surely, 2^{9213835284900} is an apocalyptic number.

9213835284900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9213835284900 is the 3035430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9213835284900

9213835284900 is an abundant number, since it is smaller than the sum of its proper divisors (21745831303951).

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

9213835284900 is a wasteful number, since it uses less digits than its factorization.

9213835284900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 9213835284900 in words is "nine trillion, two hundred thirteen billion, eight hundred thirty-five million, two hundred eighty-four thousand, nine hundred".