90459095409 has 16 divisors (see below), whose sum is σ = 134490402240. Its totient is φ = 60091446240.

The previous prime is 90459095387. The next prime is 90459095453.

90459095409 is a `hidden beast` number, since 9 + 0 + 4 + 5 + 90 + 9 + 540 + 9 = 666.

90459095409 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 90459095409 - 2¹³ = 90459087217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90459095609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5953867 + ... + 5969040.

It is an arithmetic number, because the mean of its divisors is an integer number (8405650140).

Almost surely, 2^90459095409 is an apocalyptic number.

It is an amenable number.

90459095409 is a deficient number, since it is larger than the sum of its proper divisors (44031306831).

90459095409 is a wasteful number, since it uses less digits than its factorization.

90459095409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11923197 (or 11923191 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

It can be divided in two parts, 904590 and 95409, that added together give a palindrome (999999).

The spelling of 90459095409 in words is "ninety billion, four hundred fifty-nine million, ninety-five thousand, four hundred nine".