9036036000000 has 945 divisors, whose sum is σ = 33882229719877. Its totient is φ = 2395180800000.

The previous prime is 9036035999989. The next prime is 9036036000001. The reversal of 9036036000000 is 6306309.

The square root of 9036036000000 is 3006000.

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

It can be written as a sum of positive squares in 3 ways, for example, as 7916434995456 + 1119601004544 = 2813616^2 + 1058112^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9036036000001) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 54107999917 + ... + 54108000083.

Almost surely, 2^{9036036000000} is an apocalyptic number.

9036036000000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9036036000000 is the 3006000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9036036000000

9036036000000 is an abundant number, since it is smaller than the sum of its proper divisors (24846193719877).

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

9036036000000 is an frugal number, since it uses more digits than its factorization.

9036036000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The spelling of 9036036000000 in words is "nine trillion, thirty-six billion, thirty-six million", and thus it is an aban number and an uban number.