9851362361344 has 405 divisors, whose sum is σ = 23893391109861. Its totient is φ = 4049660805120.

The previous prime is 9851362361317. The next prime is 9851362361363. The reversal of 9851362361344 is 4431632631589.

The square root of 9851362361344 is 3138688.

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

It can be written as a sum of positive squares in only one way, i.e., 173588889600 + 9677773471744 = 416640^2 + 3110912^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 87180197832 + ... + 87180197944.

Almost surely, 2^{9851362361344} is an apocalyptic number.

9851362361344 is the 3138688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9851362361344

9851362361344 is an abundant number, since it is smaller than the sum of its proper divisors (14042028748517).

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

9851362361344 is an frugal number, since it uses more digits than its factorization.

9851362361344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 153 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 55.

The spelling of 9851362361344 in words is "nine trillion, eight hundred fifty-one billion, three hundred sixty-two million, three hundred sixty-one thousand, three hundred forty-four".