1811179071168 has 224 divisors, whose sum is σ = 5216443760640. Its totient is φ = 552498693120.

The previous prime is 1811179071127. The next prime is 1811179071173. The reversal of 1811179071168 is 8611709711181.

It is a self number, because there is not a number n which added to its sum of digits gives 1811179071168.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63654321 + ... + 63682767.

It is an arithmetic number, because the mean of its divisors is an integer number (23287695360).

Almost surely, 2^{1811179071168} 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 1811179071168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608221880320).

1811179071168 is an abundant number, since it is smaller than the sum of its proper divisors (3405264689472).

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

1811179071168 is a wasteful number, since it uses less digits than its factorization.

1811179071168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29075 (or 29065 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 51.

The spelling of 1811179071168 in words is "one trillion, eight hundred eleven billion, one hundred seventy-nine million, seventy-one thousand, one hundred sixty-eight".