9838316018881 has 27 divisors (see below), whose sum is σ = 11519404938531. Its totient is φ = 8378058289104.

The previous prime is 9838316018879. The next prime is 9838316018929. The reversal of 9838316018881 is 1888106138389.

The square root of 9838316018881 is 3136609.

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., 1172475330481 + 8665840688400 = 1082809^2 + 2943780^2 .

It is not a de Polignac number, because 9838316018881 - 2¹ = 9838316018879 is a prime.

It is a super-2 number, since 2×9838316018881² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9838316018851) 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, 3578869495 + ... + 3578872243.

It is an arithmetic number, because the mean of its divisors is an integer number (426644627353).

Almost surely, 2^{9838316018881} is an apocalyptic number.

9838316018881 is the 3136609-th square number.

9838316018881 is the 1568305-th centered octagonal number.

It is an amenable number.

9838316018881 is a deficient number, since it is larger than the sum of its proper divisors (1681088919650).

9838316018881 is an frugal number, since it uses more digits than its factorization.

9838316018881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5838 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 64.

Multiplying 9838316018881 by its sum of digits (64), we get a square (629652225208384 = 25092872²).

The spelling of 9838316018881 in words is "nine trillion, eight hundred thirty-eight billion, three hundred sixteen million, eighteen thousand, eight hundred eighty-one".