2165683083876 has 405 divisors, whose sum is σ = 6489772984233. Its totient is φ = 629385007680.

The previous prime is 2165683083853. The next prime is 2165683083923. The reversal of 2165683083876 is 6783803865612.

It is a happy number.

The square root of 2165683083876 is 1471626.

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

2165683083876 is a `hidden beast` number, since 2 + 1 + 6 + 568 + 30 + 8 + 38 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 320367320100 + 1845315763776 = 566010^2 + 1358424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6542849031 + ... + 6542849361.

Almost surely, 2^{2165683083876} is an apocalyptic number.

2165683083876 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2165683083876 is the 1471626-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2165683083876

2165683083876 is an abundant number, since it is smaller than the sum of its proper divisors (4324089900357).

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

2165683083876 is a wasteful number, since it uses less digits than its factorization.

2165683083876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 2165683083876 in words is "two trillion, one hundred sixty-five billion, six hundred eighty-three million, eighty-three thousand, eight hundred seventy-six".