1168163225856 has 729 divisors, whose sum is σ = 3914062502077. Its totient is φ = 334793564160.

The previous prime is 1168163225843. The next prime is 1168163225861. The reversal of 1168163225856 is 6585223618611.

The square root of 1168163225856 is 1080816.

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

1168163225856 is a `hidden beast` number, since 1 + 16 + 8 + 16 + 32 + 2 + 585 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 224312115456 + 943851110400 = 473616^2 + 971520^2 .

It is a Duffinian number.

Its product of digits (4147200) is a multiple of the sum of its prime divisors (128).

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 80 ways as a sum of consecutive naturals, for example, 13125429460 + ... + 13125429548.

Almost surely, 2^{1168163225856} is an apocalyptic number.

1168163225856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1168163225856 is the 1080816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1168163225856

1168163225856 is an abundant number, since it is smaller than the sum of its proper divisors (2745899276221).

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

1168163225856 is an equidigital number, since it uses as much as digits as its factorization.

1168163225856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 128 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 1168163225856 in words is "one trillion, one hundred sixty-eight billion, one hundred sixty-three million, two hundred twenty-five thousand, eight hundred fifty-six".