9492782833296 has 405 divisors, whose sum is σ = 31676560123689. Its totient is φ = 2646043013376.

The previous prime is 9492782833277. The next prime is 9492782833307. The reversal of 9492782833296 is 6923382872949.

The square root of 9492782833296 is 3081036.

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

9492782833296 is a `hidden beast` number, since 9 + 4 + 9 + 278 + 28 + 3 + 329 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 548281011600 + 8944501821696 = 740460^2 + 2990736^2 .

It is a super-2 number, since 2×9492782833296² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11128701606 + ... + 11128702458.

Almost surely, 2^{9492782833296} is an apocalyptic number.

9492782833296 is the 3081036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9492782833296

9492782833296 is an abundant number, since it is smaller than the sum of its proper divisors (22183777290393).

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

9492782833296 is an equidigital number, since it uses as much as digits as its factorization.

9492782833296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 908 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 9492782833296 in words is "nine trillion, four hundred ninety-two billion, seven hundred eighty-two million, eight hundred thirty-three thousand, two hundred ninety-six".