90164685888 has 42 divisors (see below), whose sum is σ = 258440794014. Its totient is φ = 30054895104.

The previous prime is 90164685887. The next prime is 90164685889. The reversal of 90164685888 is 88858646109.

90164685888 is a `hidden beast` number, since 9 + 0 + 1 + 6 + 46 + 8 + 588 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (90164685887) and next prime (90164685889).

It can be written as a sum of positive squares in only one way, i.e., 90115236864 + 49449024 = 300192^2 + 7032^2 .

It is not an unprimeable number, because it can be changed into a prime (90164685883) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 78267381 + ... + 78268532.

Almost surely, 2^90164685888 is an apocalyptic number.

It is an amenable number.

90164685888 is an abundant number, since it is smaller than the sum of its proper divisors (168276108126).

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

90164685888 is a wasteful number, since it uses less digits than its factorization.

90164685888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156535931 (or 156535918 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 90164685888 in words is "ninety billion, one hundred sixty-four million, six hundred eighty-five thousand, eight hundred eighty-eight".