457846202753 has 2 divisors, whose sum is σ = 457846202754. Its totient is φ = 457846202752.

The previous prime is 457846202731. The next prime is 457846202761. The reversal of 457846202753 is 357202648754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 387701739649 + 70144463104 = 622657^2 + 264848^2 .

It is a cyclic number.

It is not a de Polignac number, because 457846202753 - 2⁸ = 457846202497 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 457846202695 and 457846202704.

It is not a weakly prime, because it can be changed into another prime (457846202783) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228923101376 + 228923101377.

It is an arithmetic number, because the mean of its divisors is an integer number (228923101377).

Almost surely, 2^457846202753 is an apocalyptic number.

It is an amenable number.

457846202753 is a deficient number, since it is larger than the sum of its proper divisors (1).

457846202753 is an equidigital number, since it uses as much as digits as its factorization.

457846202753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11289600, while the sum is 53.

The spelling of 457846202753 in words is "four hundred fifty-seven billion, eight hundred forty-six million, two hundred two thousand, seven hundred fifty-three".