2811166416456 has 64 divisors (see below), whose sum is σ = 7100833697280. Its totient is φ = 927341836800.

The previous prime is 2811166416413. The next prime is 2811166416481. The reversal of 2811166416456 is 6546146611182.

It is a junction number, because it is equal to n+sod(n) for n = 2811166416399 and 2811166416408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4908745 + ... + 5451431.

It is an arithmetic number, because the mean of its divisors is an integer number (110950526520).

Almost surely, 2^{2811166416456} is an apocalyptic number.

It is an amenable number.

2811166416456 is an abundant number, since it is smaller than the sum of its proper divisors (4289667280824).

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

2811166416456 is a wasteful number, since it uses less digits than its factorization.

2811166416456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544934 (or 544930 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The spelling of 2811166416456 in words is "two trillion, eight hundred eleven billion, one hundred sixty-six million, four hundred sixteen thousand, four hundred fifty-six".