46800124644257 has 2 divisors, whose sum is σ = 46800124644258. Its totient is φ = 46800124644256.

The previous prime is 46800124644197. The next prime is 46800124644307. The reversal of 46800124644257 is 75244642100864.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40722317011216 + 6077807633041 = 6381404^2 + 2465321^2 .

It is a cyclic number.

It is not a de Polignac number, because 46800124644257 - 2⁸ = 46800124644001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 46800124644199 and 46800124644208.

It is not a weakly prime, because it can be changed into another prime (46800123644257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23400062322128 + 23400062322129.

It is an arithmetic number, because the mean of its divisors is an integer number (23400062322129).

Almost surely, 2^{46800124644257} is an apocalyptic number.

It is an amenable number.

46800124644257 is a deficient number, since it is larger than the sum of its proper divisors (1).

46800124644257 is an equidigital number, since it uses as much as digits as its factorization.

46800124644257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10321920, while the sum is 53.

The spelling of 46800124644257 in words is "forty-six trillion, eight hundred billion, one hundred twenty-four million, six hundred forty-four thousand, two hundred fifty-seven".