90171248216 has 64 divisors (see below), whose sum is σ = 194997473280. Its totient is φ = 38291742720.

The previous prime is 90171248201. The next prime is 90171248261. The reversal of 90171248216 is 61284217109.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 2732471 + ... + 2765273.

It is an arithmetic number, because the mean of its divisors is an integer number (3046835520).

Almost surely, 2^90171248216 is an apocalyptic number.

It is an amenable number.

90171248216 is an abundant number, since it is smaller than the sum of its proper divisors (104826225064).

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

90171248216 is a wasteful number, since it uses less digits than its factorization.

90171248216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33264 (or 33260 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The spelling of 90171248216 in words is "ninety billion, one hundred seventy-one million, two hundred forty-eight thousand, two hundred sixteen".