1179916416 has 512 divisors, whose sum is σ = 4465152000. Its totient is φ = 298598400.

The previous prime is 1179916403. The next prime is 1179916457. The reversal of 1179916416 is 6146199711.

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

It is a congruent number.

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, 7813941 + ... + 7814091.

It is an arithmetic number, because the mean of its divisors is an integer number (8721000).

Almost surely, 2^1179916416 is an apocalyptic number.

1179916416 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 1179916416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232576000).

1179916416 is an abundant number, since it is smaller than the sum of its proper divisors (3285235584).

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

1179916416 is a wasteful number, since it uses less digits than its factorization.

1179916416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 199 counting only the distinct ones).

The product of its digits is 81648, while the sum is 45.

The square root of 1179916416 is about 34349.9114409339. The cubic root of 1179916416 is about 1056.6968540946.

The spelling of 1179916416 in words is "one billion, one hundred seventy-nine million, nine hundred sixteen thousand, four hundred sixteen".