90574640419041 has 9 divisors (see below), whose sum is σ = 130830077401491. Its totient is φ = 60383074578552.

The previous prime is 90574640418949. The next prime is 90574640419049. The reversal of 90574640419041 is 14091404647509.

It is a happy number.

The square root of 90574640419041 is 9517071.

It is a perfect power (a square), and thus also a powerful number.

90574640419041 is a `hidden beast` number, since 9 + 0 + 5 + 7 + 4 + 6 + 404 + 190 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87710436198225 + 2864204220816 = 9365385^2 + 1692396^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 90574640419041 - 2³⁹ = 90024884605153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90574640419049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26965035 + ... + 30137391.

Almost surely, 2^{90574640419041} is an apocalyptic number.

90574640419041 is the 9517071-st square number.

90574640419041 is the 4758536-th centered octagonal number.

It is an amenable number.

90574640419041 is a deficient number, since it is larger than the sum of its proper divisors (40255436982450).

90574640419041 is an frugal number, since it uses more digits than its factorization.

90574640419041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6344720 (or 3172360 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 90574640419041 in words is "ninety trillion, five hundred seventy-four billion, six hundred forty million, four hundred nineteen thousand, forty-one".