90535368187729 has 2 divisors, whose sum is σ = 90535368187730. Its totient is φ = 90535368187728.

The previous prime is 90535368187711. The next prime is 90535368187739. The reversal of 90535368187729 is 92778186353509.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51727165465600 + 38808202722129 = 7192160^2 + 6229623^2 .

It is a cyclic number.

It is not a de Polignac number, because 90535368187729 - 2¹⁵ = 90535368154961 is a prime.

It is not a weakly prime, because it can be changed into another prime (90535368187709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45267684093864 + 45267684093865.

It is an arithmetic number, because the mean of its divisors is an integer number (45267684093865).

Almost surely, 2^{90535368187729} is an apocalyptic number.

It is an amenable number.

90535368187729 is a deficient number, since it is larger than the sum of its proper divisors (1).

90535368187729 is an equidigital number, since it uses as much as digits as its factorization.

90535368187729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 685843200, while the sum is 73.

The spelling of 90535368187729 in words is "ninety trillion, five hundred thirty-five billion, three hundred sixty-eight million, one hundred eighty-seven thousand, seven hundred twenty-nine".