90417226784 has 48 divisors (see below), whose sum is σ = 182922360768. Its totient is φ = 43962124032.

The previous prime is 90417226751. The next prime is 90417226787. The reversal of 90417226784 is 48762271409.

It is a happy number.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (90417226787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2190077 + ... + 2230979.

It is an arithmetic number, because the mean of its divisors is an integer number (3810882516).

Almost surely, 2^90417226784 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 90417226784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91461180384).

90417226784 is an abundant number, since it is smaller than the sum of its proper divisors (92505133984).

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

90417226784 is a wasteful number, since it uses less digits than its factorization.

90417226784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42817 (or 42809 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 50.

The spelling of 90417226784 in words is "ninety billion, four hundred seventeen million, two hundred twenty-six thousand, seven hundred eighty-four".