1199174409216 has 1056 divisors, whose sum is σ = 4403409454080. Its totient is φ = 318473109504.

The previous prime is 1199174409187. The next prime is 1199174409217. The reversal of 1199174409216 is 6129044719911.

It is a happy number.

1199174409216 is a `hidden beast` number, since 1 + 1 + 9 + 9 + 17 + 4 + 409 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1199174409217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1482291820 + ... + 1482292628.

Almost surely, 2^{1199174409216} is an apocalyptic number.

1199174409216 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 1199174409216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201704727040).

1199174409216 is an abundant number, since it is smaller than the sum of its proper divisors (3204235044864).

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

1199174409216 is an equidigital number, since it uses as much as digits as its factorization.

1199174409216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 1199174409216 in words is "one trillion, one hundred ninety-nine billion, one hundred seventy-four million, four hundred nine thousand, two hundred sixteen".