1768024968241 has 45 divisors (see below), whose sum is σ = 2126919980055. Its totient is φ = 1465403815680.

The previous prime is 1768024968233. The next prime is 1768024968271. The reversal of 1768024968241 is 1428694208671.

The square root of 1768024968241 is 1329671.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 524139800625 + 1243885167616 = 723975^2 + 1115296^2 .

It is not a de Polignac number, because 1768024968241 - 2³ = 1768024968233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1768024968211) 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, 15646238601 + ... + 15646238713.

Almost surely, 2^{1768024968241} is an apocalyptic number.

1768024968241 is the 1329671-st square number.

1768024968241 is the 664836-th centered octagonal number.

It is an amenable number.

1768024968241 is a deficient number, since it is larger than the sum of its proper divisors (358895011814).

1768024968241 is an frugal number, since it uses more digits than its factorization.

1768024968241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 58.

The spelling of 1768024968241 in words is "one trillion, seven hundred sixty-eight billion, twenty-four million, nine hundred sixty-eight thousand, two hundred forty-one".