1166495616 has 384 divisors, whose sum is σ = 4038783840. Its totient is φ = 318504960.

The previous prime is 1166495611. The next prime is 1166495653. The reversal of 1166495616 is 6165946611.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166495611) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12025680 + ... + 12025776.

Almost surely, 2^1166495616 is an apocalyptic number.

1166495616 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 1166495616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019391920).

1166495616 is an abundant number, since it is smaller than the sum of its proper divisors (2872288224).

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

1166495616 is a wasteful number, since it uses less digits than its factorization.

1166495616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 199 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 1166495616 is about 34153.9985360426. The cubic root of 1166495616 is about 1052.6751486415.

It can be divided in two parts, 116649 and 5616, that added together give a triangular number (122265 = T₄₉₄).

The spelling of 1166495616 in words is "one billion, one hundred sixty-six million, four hundred ninety-five thousand, six hundred sixteen".