268698614736841 has 45 divisors (see below), whose sum is σ = 291407445736869. Its totient is φ = 247708998619008.

The previous prime is 268698614736833. The next prime is 268698614736907. The reversal of 268698614736841 is 148637416896862.

The square root of 268698614736841 is 16392029.

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 1026110246841 + 267672504490000 = 1012971^2 + 16360700^2 .

It is not a de Polignac number, because 268698614736841 - 2³ = 268698614736833 is a prime.

It is a super-2 number, since 2×268698614736841² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (268698614716841) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 970031099995 + ... + 970031100271.

Almost surely, 2^{268698614736841} is an apocalyptic number.

268698614736841 is the 16392029-th square number.

268698614736841 is the 8196015-th centered octagonal number.

It is an amenable number.

268698614736841 is a deficient number, since it is larger than the sum of its proper divisors (22708831000028).

268698614736841 is an frugal number, since it uses more digits than its factorization.

268698614736841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 353 counting only the distinct ones).

The product of its digits is 4013162496, while the sum is 79.

The spelling of 268698614736841 in words is "two hundred sixty-eight trillion, six hundred ninety-eight billion, six hundred fourteen million, seven hundred thirty-six thousand, eight hundred forty-one".