90985424122384 has 45 divisors (see below), whose sum is σ = 193767889507311. Its totient is φ = 41356820192160.

The previous prime is 90985424122381. The next prime is 90985424122391. The reversal of 90985424122384 is 48322142458909.

The square root of 90985424122384 is 9538628.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90985424122381) 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, 419591239 + ... + 419808025.

Almost surely, 2^{90985424122384} is an apocalyptic number.

90985424122384 is the 9538628-th square number.

It is an amenable number.

90985424122384 is an abundant number, since it is smaller than the sum of its proper divisors (102782465384927).

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

90985424122384 is an frugal number, since it uses more digits than its factorization.

90985424122384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433604 (or 216800 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 61.

The spelling of 90985424122384 in words is "ninety trillion, nine hundred eighty-five billion, four hundred twenty-four million, one hundred twenty-two thousand, three hundred eighty-four".