1011166416 has 100 divisors (see below), whose sum is σ = 3151785252. Its totient is φ = 311122944.

The previous prime is 1011166397. The next prime is 1011166423. The reversal of 1011166416 is 6146611101.

It is a happy number.

1011166416 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 16 + 641 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 522579600 + 488586816 = 22860^2 + 22104^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1011166416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13161 + ... + 46856.

Almost surely, 2^1011166416 is an apocalyptic number.

1011166416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1011166416 is an abundant number, since it is smaller than the sum of its proper divisors (2140618836).

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

1011166416 is a wasteful number, since it uses less digits than its factorization.

1011166416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60050 (or 60035 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1011166416 is about 31798.8429978199. The cubic root of 1011166416 is about 1003.7083696619.

Adding to 1011166416 its reverse (6146611101), we get a palindrome (7157777517).

The spelling of 1011166416 in words is "one billion, eleven million, one hundred sixty-six thousand, four hundred sixteen".