9274938010000 has 300 divisors, whose sum is σ = 24353573252580. Its totient is φ = 3419270400000.

The previous prime is 9274938009989. The next prime is 9274938010043. The reversal of 9274938010000 is 108394729.

9274938010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 30 ways, for example, as 5612047288576 + 3662890721424 = 2368976^2 + 1913868^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1184686086 + ... + 1184693914.

Almost surely, 2^{9274938010000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9274938010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12176786626290).

9274938010000 is an abundant number, since it is smaller than the sum of its proper divisors (15078635242580).

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

9274938010000 is a wasteful number, since it uses less digits than its factorization.

9274938010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8584 (or 8550 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 9274938010000 in words is "nine trillion, two hundred seventy-four billion, nine hundred thirty-eight million, ten thousand".