1248759315441 has 27 divisors (see below), whose sum is σ = 1982707638457. Its totient is φ = 756801477960.

The previous prime is 1248759315319. The next prime is 1248759315487. The reversal of 1248759315441 is 1445139578421.

The square root of 1248759315441 is 1117479.

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

1248759315441 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 7 + 5 + 93 + 1 + 544 + 1 = 666.

It is not a de Polignac number, because 1248759315441 - 2¹⁹ = 1248758791153 is a prime.

It is a super-3 number, since 3×1248759315441³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1248759315541) 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, 36859876 + ... + 36893738.

Almost surely, 2^{1248759315441} is an apocalyptic number.

1248759315441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1248759315441 is the 1117479-th square number.

1248759315441 is the 558740-th centered octagonal number.

It is an amenable number.

1248759315441 is a deficient number, since it is larger than the sum of its proper divisors (733948323016).

1248759315441 is an frugal number, since it uses more digits than its factorization.

1248759315441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67754 (or 33877 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 1248759315441 in words is "one trillion, two hundred forty-eight billion, seven hundred fifty-nine million, three hundred fifteen thousand, four hundred forty-one".