1268936913841 has 81 divisors (see below), whose sum is σ = 1464512724171. Its totient is φ = 1099147319424.

The previous prime is 1268936913817. The next prime is 1268936913863. The reversal of 1268936913841 is 1483196398621.

The square root of 1268936913841 is 1126471.

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., 987926663025 + 281010250816 = 993945^2 + 530104^2 .

It is not a de Polignac number, because 1268936913841 - 2¹⁷ = 1268936782769 is a prime.

It is a super-2 number, since 2×1268936913841² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1268936913841.

It is not an unprimeable number, because it can be changed into a prime (1268936913641) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 18939356890 + ... + 18939356956.

Almost surely, 2^{1268936913841} is an apocalyptic number.

1268936913841 is the 1126471-st square number.

1268936913841 is the 563236-th centered octagonal number.

It is an amenable number.

1268936913841 is a deficient number, since it is larger than the sum of its proper divisors (195575810330).

1268936913841 is an frugal number, since it uses more digits than its factorization.

1268936913841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 150 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 61.

The spelling of 1268936913841 in words is "one trillion, two hundred sixty-eight billion, nine hundred thirty-six million, nine hundred thirteen thousand, eight hundred forty-one".