1171908009216 has 1296 divisors, whose sum is σ = 4359169655568. Its totient is φ = 300574310400.

The previous prime is 1171908009211. The next prime is 1171908009227. The reversal of 1171908009216 is 6129008091711.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5715360000 + 1166192649216 = 75600^2 + 1079904^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1171908009211) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4170490996 + ... + 4170491276.

It is an arithmetic number, because the mean of its divisors is an integer number (3363556833).

Almost surely, 2^{1171908009216} is an apocalyptic number.

1171908009216 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 1171908009216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179584827784).

1171908009216 is an abundant number, since it is smaller than the sum of its proper divisors (3187261646352).

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

1171908009216 is a wasteful number, since it uses less digits than its factorization.

1171908009216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 45.

The spelling of 1171908009216 in words is "one trillion, one hundred seventy-one billion, nine hundred eight million, nine thousand, two hundred sixteen".