2248923128761 has 2 divisors, whose sum is σ = 2248923128762. Its totient is φ = 2248923128760.

The previous prime is 2248923128723. The next prime is 2248923128909. The reversal of 2248923128761 is 1678213298422.

2248923128761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1879586160400 + 369336968361 = 1370980^2 + 607731^2 .

It is a cyclic number.

It is not a de Polignac number, because 2248923128761 - 2²³ = 2248914740153 is a prime.

It is a super-3 number, since 3×2248923128761³ (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2248923128561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1124461564380 + 1124461564381.

It is an arithmetic number, because the mean of its divisors is an integer number (1124461564381).

Almost surely, 2^{2248923128761} is an apocalyptic number.

It is an amenable number.

2248923128761 is a deficient number, since it is larger than the sum of its proper divisors (1).

2248923128761 is an equidigital number, since it uses as much as digits as its factorization.

2248923128761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4644864, while the sum is 55.

The spelling of 2248923128761 in words is "two trillion, two hundred forty-eight billion, nine hundred twenty-three million, one hundred twenty-eight thousand, seven hundred sixty-one".