8165964188928 has 1152 divisors, whose sum is σ = 28389178137600. Its totient is φ = 2026201153536.

The previous prime is 8165964188903. The next prime is 8165964188951. The reversal of 8165964188928 is 8298814695618.

It is a super-2 number, since 2×8165964188928² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8165964188928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14351430628 + ... + 14351431196.

It is an arithmetic number, because the mean of its divisors is an integer number (24643383800).

Almost surely, 2^{8165964188928} 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 8165964188928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14194589068800).

8165964188928 is an abundant number, since it is smaller than the sum of its proper divisors (20223213948672).

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

8165964188928 is a wasteful number, since it uses less digits than its factorization.

8165964188928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 793 counting only the distinct ones).

The product of its digits is 477757440, while the sum is 75.

The spelling of 8165964188928 in words is "eight trillion, one hundred sixty-five billion, nine hundred sixty-four million, one hundred eighty-eight thousand, nine hundred twenty-eight".