1166312448 has 264 divisors, whose sum is σ = 3908623680. Its totient is φ = 328089600.

The previous prime is 1166312447. The next prime is 1166312467. The reversal of 1166312448 is 8442136611.

1166312448 is a `hidden beast` number, since 1 + 16 + 631 + 2 + 4 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1166312447) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6515623 + ... + 6515801.

Almost surely, 2^1166312448 is an apocalyptic number.

1166312448 is a gapful number since it is divisible by the number (18) 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 1166312448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954311840).

1166312448 is an abundant number, since it is smaller than the sum of its proper divisors (2742311232).

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

1166312448 is a wasteful number, since it uses less digits than its factorization.

1166312448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 292 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1166312448 is about 34151.3169292196. The cubic root of 1166312448 is about 1052.6200472786.

The spelling of 1166312448 in words is "one billion, one hundred sixty-six million, three hundred twelve thousand, four hundred forty-eight".