90317775168 has 448 divisors, whose sum is σ = 290454405120. Its totient is φ = 27409342464.

The previous prime is 90317775157. The next prime is 90317775169. The reversal of 90317775168 is 86157771309.

90317775168 is a `hidden beast` number, since 90 + 31 + 7 + 7 + 7 + 516 + 8 = 666.

It is a super-2 number, since 2×90317775168² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90317775169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160422055 + ... + 160422617.

Almost surely, 2^90317775168 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 90317775168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145227202560).

90317775168 is an abundant number, since it is smaller than the sum of its proper divisors (200136629952).

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

90317775168 is a wasteful number, since it uses less digits than its factorization.

90317775168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 90317775168 in words is "ninety billion, three hundred seventeen million, seven hundred seventy-five thousand, one hundred sixty-eight".