8165418264 has 192 divisors, whose sum is σ = 24029491200. Its totient is φ = 2496469248.

The previous prime is 8165418253. The next prime is 8165418293. The reversal of 8165418264 is 4628145618.

It is a happy number.

8165418264 is a `hidden beast` number, since 81 + 6 + 541 + 8 + 26 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7470102 + ... + 7471194.

It is an arithmetic number, because the mean of its divisors is an integer number (125153600).

Almost surely, 2^8165418264 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 8165418264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12014745600).

8165418264 is an abundant number, since it is smaller than the sum of its proper divisors (15864072936).

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

8165418264 is a wasteful number, since it uses less digits than its factorization.

8165418264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1287 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 8165418264 is about 90362.7039436072. The cubic root of 8165418264 is about 2013.6909208232.

The spelling of 8165418264 in words is "eight billion, one hundred sixty-five million, four hundred eighteen thousand, two hundred sixty-four".