1006166656516 has 24 divisors (see below), whose sum is σ = 2019984785280. Its totient is φ = 429574680192.

The previous prime is 1006166656511. The next prime is 1006166656559. The reversal of 1006166656516 is 6156566616001.

It is a self number, because there is not a number n which added to its sum of digits gives 1006166656516.

It is not an unprimeable number, because it can be changed into a prime (1006166656511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68309221 + ... + 68323948.

It is an arithmetic number, because the mean of its divisors is an integer number (84166032720).

Almost surely, 2^{1006166656516} is an apocalyptic number.

It is an amenable number.

1006166656516 is an abundant number, since it is smaller than the sum of its proper divisors (1013818128764).

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

1006166656516 is a wasteful number, since it uses less digits than its factorization.

1006166656516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136633443 (or 136633441 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

The spelling of 1006166656516 in words is "one trillion, six billion, one hundred sixty-six million, six hundred fifty-six thousand, five hundred sixteen".