42145115706893 has 2 divisors, whose sum is σ = 42145115706894. Its totient is φ = 42145115706892.

The previous prime is 42145115706833. The next prime is 42145115706907. The reversal of 42145115706893 is 39860751154124.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28691053098409 + 13454062608484 = 5356403^2 + 3667978^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-42145115706893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42145115706833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21072557853446 + 21072557853447.

It is an arithmetic number, because the mean of its divisors is an integer number (21072557853447).

It is a 1-persistent number, because it is pandigital, but 2⋅42145115706893 = 84290231413786 is not.

Almost surely, 2^{42145115706893} is an apocalyptic number.

It is an amenable number.

42145115706893 is a deficient number, since it is larger than the sum of its proper divisors (1).

42145115706893 is an equidigital number, since it uses as much as digits as its factorization.

42145115706893 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7257600, while the sum is 56.

The spelling of 42145115706893 in words is "forty-two trillion, one hundred forty-five billion, one hundred fifteen million, seven hundred six thousand, eight hundred ninety-three".