1166416416 has 384 divisors, whose sum is σ = 3971358720. Its totient is φ = 329702400.

The previous prime is 1166416357. The next prime is 1166416423. The reversal of 1166416416 is 6146146611.

1166416416 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 4 + 1 + 641 + 6 = 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10901035 + ... + 10901141.

It is an arithmetic number, because the mean of its divisors is an integer number (10342080).

Almost surely, 2^1166416416 is an apocalyptic number.

1166416416 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 1166416416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985679360).

1166416416 is an abundant number, since it is smaller than the sum of its proper divisors (2804942304).

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

1166416416 is a wasteful number, since it uses less digits than its factorization.

1166416416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1166416416 is about 34152.8390620751. The cubic root of 1166416416 is about 1052.6513240745.

The spelling of 1166416416 in words is "one billion, one hundred sixty-six million, four hundred sixteen thousand, four hundred sixteen".