90312087168 has 192 divisors, whose sum is σ = 262616182920. Its totient is φ = 29789061120.

The previous prime is 90312087163. The next prime is 90312087197. The reversal of 90312087168 is 86178021309.

It can be written as a sum of positive squares in 4 ways, for example, as 76215749184 + 14096337984 = 276072^2 + 118728^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (90312087161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50821896 + ... + 50823672.

Almost surely, 2^90312087168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90312087168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131308091460).

90312087168 is an abundant number, since it is smaller than the sum of its proper divisors (172304095752).

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

90312087168 is a wasteful number, since it uses less digits than its factorization.

90312087168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 90312087168 in words is "ninety billion, three hundred twelve million, eighty-seven thousand, one hundred sixty-eight".