90449961001 has 3 divisors (see below), whose sum is σ = 90450261751. Its totient is φ = 90449660252.

The previous prime is 90449960999. The next prime is 90449961013. The reversal of 90449961001 is 10016994409.

It is a happy number.

The square root of 90449961001 is 300749.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 10016994409 = 271 ⋅36963079.

It can be written as a sum of positive squares in only one way, i.e., 2371592601 + 88078368400 = 48699^2 + 296780^2 .

It is not a de Polignac number, because 90449961001 - 2¹ = 90449960999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90449964001) 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 2 ways as a sum of consecutive naturals, for example, 150375 + ... + 451123.

Almost surely, 2^90449961001 is an apocalyptic number.

90449961001 is the 300749-th square number.

90449961001 is the 150375-th centered octagonal number.

It is an amenable number.

90449961001 is a deficient number, since it is larger than the sum of its proper divisors (300750).

90449961001 is an frugal number, since it uses more digits than its factorization.

90449961001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601498 (or 300749 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The spelling of 90449961001 in words is "ninety billion, four hundred forty-nine million, nine hundred sixty-one thousand, one".