90685661184 has 280 divisors, whose sum is σ = 285219510840. Its totient is φ = 28633595904.

The previous prime is 90685661167. The next prime is 90685661189. The reversal of 90685661184 is 48116658609.

90685661184 is a `hidden beast` number, since 9 + 0 + 68 + 566 + 1 + 18 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 90685661184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90685661189) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12603892 + ... + 12611084.

Almost surely, 2^90685661184 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 90685661184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142609755420).

90685661184 is an abundant number, since it is smaller than the sum of its proper divisors (194533849656).

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

90685661184 is an equidigital number, since it uses as much as digits as its factorization.

90685661184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7250 (or 7217 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 90685661184 in words is "ninety billion, six hundred eighty-five million, six hundred sixty-one thousand, one hundred eighty-four".