8165138688 has 288 divisors, whose sum is σ = 28347173120. Its totient is φ = 2269347840.

The previous prime is 8165138687. The next prime is 8165138731. The reversal of 8165138688 is 8868315618.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×8165138688² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (8165138687) 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 31 ways as a sum of consecutive naturals, for example, 1787928 + ... + 1792488.

Almost surely, 2^8165138688 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 8165138688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14173586560).

8165138688 is an abundant number, since it is smaller than the sum of its proper divisors (20182034432).

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

8165138688 is a wasteful number, since it uses less digits than its factorization.

8165138688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4630 (or 4610 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The square root of 8165138688 is about 90361.1569647047. The cubic root of 8165138688 is about 2013.6679382863.

The spelling of 8165138688 in words is "eight billion, one hundred sixty-five million, one hundred thirty-eight thousand, six hundred eighty-eight".