12833381981641 has 27 divisors (see below), whose sum is σ = 13967003636469. Its totient is φ = 11786401815552.

The previous prime is 12833381981639. The next prime is 12833381981647. The reversal of 12833381981641 is 14618918333821.

The square root of 12833381981641 is 3582371.

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 83769146041 + 12749612835600 = 289429^2 + 3570660^2 .

It is not a de Polignac number, because 12833381981641 - 2¹ = 12833381981639 is a prime.

It is a super-2 number, since 2×12833381981641² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12833381981647) 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, 11130426121 + ... + 11130427273.

Almost surely, 2^{12833381981641} is an apocalyptic number.

12833381981641 is the 3582371-st square number.

12833381981641 is the 1791186-th centered octagonal number.

It is an amenable number.

12833381981641 is a deficient number, since it is larger than the sum of its proper divisors (1133621654828).

12833381981641 is an frugal number, since it uses more digits than its factorization.

12833381981641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 1405 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 58.

The spelling of 12833381981641 in words is "twelve trillion, eight hundred thirty-three billion, three hundred eighty-one million, nine hundred eighty-one thousand, six hundred forty-one".