8523106416 has 360 divisors, whose sum is σ = 27690684528. Its totient is φ = 2540419200.

The previous prime is 8523106391. The next prime is 8523106439. The reversal of 8523106416 is 6146013258.

It is a happy number.

8523106416 is a `hidden beast` number, since 8 + 5 + 2 + 3 + 1 + 0 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 139723026 + ... + 139723086.

Almost surely, 2^8523106416 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 8523106416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13845342264).

8523106416 is an abundant number, since it is smaller than the sum of its proper divisors (19167578112).

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

8523106416 is an frugal number, since it uses more digits than its factorization.

8523106416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8523106416 is about 92320.6716613349. The cubic root of 8523106416 is about 2042.6751409566.

The spelling of 8523106416 in words is "eight billion, five hundred twenty-three million, one hundred six thousand, four hundred sixteen".