10146045401441 has 2 divisors, whose sum is σ = 10146045401442. Its totient is φ = 10146045401440.

The previous prime is 10146045401413. The next prime is 10146045401447. The reversal of 10146045401441 is 14410454064101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9283569141025 + 862476260416 = 3046895^2 + 928696^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10146045401441 is a prime.

It is a super-3 number, since 3×10146045401441³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10146045401447) 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 as a sum of consecutive naturals, namely, 5073022700720 + 5073022700721.

It is an arithmetic number, because the mean of its divisors is an integer number (5073022700721).

Almost surely, 2^{10146045401441} is an apocalyptic number.

It is an amenable number.

10146045401441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10146045401441 is an equidigital number, since it uses as much as digits as its factorization.

10146045401441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30720, while the sum is 35.

Adding to 10146045401441 its reverse (14410454064101), we get a palindrome (24556499465542).

The spelling of 10146045401441 in words is "ten trillion, one hundred forty-six billion, forty-five million, four hundred one thousand, four hundred forty-one".