10224620546233 has 2 divisors, whose sum is σ = 10224620546234. Its totient is φ = 10224620546232.

The previous prime is 10224620546227. The next prime is 10224620546237. The reversal of 10224620546233 is 33264502642201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8756580559104 + 1468039987129 = 2959152^2 + 1211627^2 .

It is a cyclic number.

It is not a de Polignac number, because 10224620546233 - 2⁵ = 10224620546201 is a prime.

It is a super-3 number, since 3×10224620546233³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10224620546237) 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, 5112310273116 + 5112310273117.

It is an arithmetic number, because the mean of its divisors is an integer number (5112310273117).

Almost surely, 2^{10224620546233} is an apocalyptic number.

It is an amenable number.

10224620546233 is a deficient number, since it is larger than the sum of its proper divisors (1).

10224620546233 is an equidigital number, since it uses as much as digits as its factorization.

10224620546233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 10224620546233 in words is "ten trillion, two hundred twenty-four billion, six hundred twenty million, five hundred forty-six thousand, two hundred thirty-three".