9000276002116 has 81 divisors (see below), whose sum is σ = 18401766617367. Its totient is φ = 3840538887360.

The previous prime is 9000276002111. The next prime is 9000276002197. The reversal of 9000276002116 is 6112006720009.

The square root of 9000276002116 is 3000046.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1225993704516 + 7774282297600 = 1107246^2 + 2788240^2 .

It is a super-3 number, since 3×9000276002116³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (9000276002111) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17682270870 + ... + 17682271378.

Almost surely, 2^{9000276002116} is an apocalyptic number.

9000276002116 is the 3000046-th square number.

It is an amenable number.

9000276002116 is an abundant number, since it is smaller than the sum of its proper divisors (9401490615251).

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

9000276002116 is an frugal number, since it uses more digits than its factorization.

9000276002116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The spelling of 9000276002116 in words is "nine trillion, two hundred seventy-six million, two thousand, one hundred sixteen".