11457857617793 has 2 divisors, whose sum is σ = 11457857617794. Its totient is φ = 11457857617792.

The previous prime is 11457857617757. The next prime is 11457857617819. The reversal of 11457857617793 is 39771675875411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10480195459969 + 977662157824 = 3237313^2 + 988768^2 .

It is a cyclic number.

It is not a de Polignac number, because 11457857617793 - 2¹⁰ = 11457857616769 is a prime.

It is not a weakly prime, because it can be changed into another prime (11457857617693) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5728928808896 + 5728928808897.

It is an arithmetic number, because the mean of its divisors is an integer number (5728928808897).

Almost surely, 2^{11457857617793} is an apocalyptic number.

It is an amenable number.

11457857617793 is a deficient number, since it is larger than the sum of its proper divisors (1).

11457857617793 is an equidigital number, since it uses as much as digits as its factorization.

11457857617793 is an evil number, because the sum of its binary digits is even.

The product of its digits is 311169600, while the sum is 71.

The spelling of 11457857617793 in words is "eleven trillion, four hundred fifty-seven billion, eight hundred fifty-seven million, six hundred seventeen thousand, seven hundred ninety-three".