8016123788176 has 45 divisors (see below), whose sum is σ = 18067131141969. Its totient is φ = 3435447648192.

The previous prime is 8016123788059. The next prime is 8016123788203. The reversal of 8016123788176 is 6718873216108.

The square root of 8016123788176 is 2831276.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3060050490000 + 4956073298176 = 1749300^2 + 2226224^2 .

It is a super-2 number, since 2×8016123788176² (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 8016123788176.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 79225170 + ... + 79326286.

Almost surely, 2^{8016123788176} is an apocalyptic number.

8016123788176 is the 2831276-th square number.

It is an amenable number.

8016123788176 is an abundant number, since it is smaller than the sum of its proper divisors (10051007353793).

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

8016123788176 is an frugal number, since it uses more digits than its factorization.

8016123788176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202256 (or 101126 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 58.

The spelling of 8016123788176 in words is "eight trillion, sixteen billion, one hundred twenty-three million, seven hundred eighty-eight thousand, one hundred seventy-six".