90204141404161 has 2 divisors, whose sum is σ = 90204141404162. Its totient is φ = 90204141404160.

The previous prime is 90204141404101. The next prime is 90204141404171. The reversal of 90204141404161 is 16140414140209.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56431120564225 + 33773020839936 = 7512065^2 + 5811456^2 .

It is a cyclic number.

It is not a de Polignac number, because 90204141404161 - 2¹³ = 90204141395969 is a prime.

It is a super-2 number, since 2×90204141404161² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90204141404161.

It is not a weakly prime, because it can be changed into another prime (90204141404101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45102070702080 + 45102070702081.

It is an arithmetic number, because the mean of its divisors is an integer number (45102070702081).

Almost surely, 2^{90204141404161} is an apocalyptic number.

It is an amenable number.

90204141404161 is a deficient number, since it is larger than the sum of its proper divisors (1).

90204141404161 is an equidigital number, since it uses as much as digits as its factorization.

90204141404161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 90204141404161 in words is "ninety trillion, two hundred four billion, one hundred forty-one million, four hundred four thousand, one hundred sixty-one".