243112451761 has 2 divisors, whose sum is σ = 243112451762. Its totient is φ = 243112451760.

The previous prime is 243112451707. The next prime is 243112451821. The reversal of 243112451761 is 167154211342.

243112451761 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., 159920010000 + 83192441761 = 399900^2 + 288431^2 .

It is a cyclic number.

It is not a de Polignac number, because 243112451761 - 2¹⁹ = 243111927473 is a prime.

It is a super-2 number, since 2×243112451761² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 243112451761.

It is not a weakly prime, because it can be changed into another prime (243112451261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121556225880 + 121556225881.

It is an arithmetic number, because the mean of its divisors is an integer number (121556225881).

Almost surely, 2^243112451761 is an apocalyptic number.

It is an amenable number.

243112451761 is a deficient number, since it is larger than the sum of its proper divisors (1).

243112451761 is an equidigital number, since it uses as much as digits as its factorization.

243112451761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40320, while the sum is 37.

The spelling of 243112451761 in words is "two hundred forty-three billion, one hundred twelve million, four hundred fifty-one thousand, seven hundred sixty-one".