90182492416 has 45 divisors (see below), whose sum is σ = 181336332331. Its totient is φ = 44762113024.

The previous prime is 90182492377. The next prime is 90182492471. The reversal of 90182492416 is 61429428109.

The square root of 90182492416 is 300304.

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

It can be written as a sum of positive squares in 2 ways, for example, as 2755830016 + 87426662400 = 52496^2 + 295680^2 .

It is a Duffinian number.

It is an unprimeable number.

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 4 ways as a sum of consecutive naturals, for example, 658266300 + ... + 658266436.

Almost surely, 2^90182492416 is an apocalyptic number.

90182492416 is the 300304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90182492416

90182492416 is an abundant number, since it is smaller than the sum of its proper divisors (91153839915).

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

90182492416 is an frugal number, since it uses more digits than its factorization.

90182492416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 90182492416 in words is "ninety billion, one hundred eighty-two million, four hundred ninety-two thousand, four hundred sixteen".