90741761067409 has 9 divisors (see below), whose sum is σ = 91289979009211. Its totient is φ = 90196815938080.

The previous prime is 90741761067407. The next prime is 90741761067431. The reversal of 90741761067409 is 90476016714709.

The square root of 90741761067409 is 9525847.

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

It can be written as a sum of positive squares in only one way, i.e., 34967152369809 + 55774608697600 = 5913303^2 + 7468240^2 .

It is not a de Polignac number, because 90741761067409 - 2¹ = 90741761067407 is a prime.

It is a super-2 number, since 2×90741761067409² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90741761067401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1590787929 + ... + 1590844969.

Almost surely, 2^{90741761067409} is an apocalyptic number.

90741761067409 is the 9525847-th square number.

90741761067409 is the 4762924-th centered octagonal number.

It is an amenable number.

90741761067409 is a deficient number, since it is larger than the sum of its proper divisors (548217941802).

90741761067409 is an frugal number, since it uses more digits than its factorization.

90741761067409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114416 (or 57208 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 61.

The spelling of 90741761067409 in words is "ninety trillion, seven hundred forty-one billion, seven hundred sixty-one million, sixty-seven thousand, four hundred nine".