1166147856 has 60 divisors (see below), whose sum is σ = 3274147708. Its totient is φ = 387459072.

The previous prime is 1166147839. The next prime is 1166147887. The reversal of 1166147856 is 6587416611.

1166147856 is a `hidden beast` number, since 116 + 61 + 478 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 196448256 + 969699600 = 14016^2 + 31140^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32136 + ... + 58008.

Almost surely, 2^1166147856 is an apocalyptic number.

1166147856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166147856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637073854).

1166147856 is an abundant number, since it is smaller than the sum of its proper divisors (2107999852).

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

1166147856 is a wasteful number, since it uses less digits than its factorization.

1166147856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26200 (or 26191 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 1166147856 is about 34148.9070981781. The cubic root of 1166147856 is about 1052.5705291043.

The spelling of 1166147856 in words is "one billion, one hundred sixty-six million, one hundred forty-seven thousand, eight hundred fifty-six".