1268080940281 has 9 divisors (see below), whose sum is σ = 1292519263791. Its totient is φ = 1244096328072.

The previous prime is 1268080940263. The next prime is 1268080940293. The reversal of 1268080940281 is 1820490808621.

The square root of 1268080940281 is 1126091.

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., 914155893225 + 353925047056 = 956115^2 + 594916^2 .

It is not a de Polignac number, because 1268080940281 - 2⁷ = 1268080940153 is a prime.

It is a super-3 number, since 3×1268080940281³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1268080940201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 59672200 + ... + 59693446.

Almost surely, 2^{1268080940281} is an apocalyptic number.

1268080940281 is the 1126091-st square number.

1268080940281 is the 563046-th centered octagonal number.

It is an amenable number.

1268080940281 is a deficient number, since it is larger than the sum of its proper divisors (24438323510).

1268080940281 is an frugal number, since it uses more digits than its factorization.

1268080940281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42600 (or 21300 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 49.

Multiplying 1268080940281 by its sum of digits (49), we get a square (62135966073769 = 7882637²).

The spelling of 1268080940281 in words is "one trillion, two hundred sixty-eight billion, eighty million, nine hundred forty thousand, two hundred eighty-one".