90049205809476 has 81 divisors (see below), whose sum is σ = 227990389076541. Its totient is φ = 29968214631264.

The previous prime is 90049205809457. The next prime is 90049205809489. The reversal of 90049205809476 is 67490850294009.

The square root of 90049205809476 is 9489426.

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

90049205809476 is a `hidden beast` number, since 9 + 0 + 0 + 4 + 9 + 2 + 0 + 580 + 9 + 47 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88735834800900 + 1313371008576 = 9419970^2 + 1146024^2 .

It is a super-2 number, since 2×90049205809476² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62231654985 + ... + 62231656431.

Almost surely, 2^{90049205809476} is an apocalyptic number.

90049205809476 is the 9489426-th square number.

It is an amenable number.

90049205809476 is an abundant number, since it is smaller than the sum of its proper divisors (137941183267065).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90049205809476 is an equidigital number, since it uses as much as digits as its factorization.

90049205809476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5090 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 90049205809476 in words is "ninety trillion, forty-nine billion, two hundred five million, eight hundred nine thousand, four hundred seventy-six".