1191191616 has 224 divisors, whose sum is σ = 3718722560. Its totient is φ = 373248000.

The previous prime is 1191191569. The next prime is 1191191623. The reversal of 1191191616 is 6161911911.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1981716 + ... + 1982316.

It is an arithmetic number, because the mean of its divisors is an integer number (16601440).

Almost surely, 2^1191191616 is an apocalyptic number.

1191191616 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 1191191616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859361280).

1191191616 is an abundant number, since it is smaller than the sum of its proper divisors (2527530944).

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

1191191616 is a wasteful number, since it uses less digits than its factorization.

1191191616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 674 counting only the distinct ones).

The product of its digits is 2916, while the sum is 36.

The square root of 1191191616 is about 34513.6439107782. The cubic root of 1191191616 is about 1060.0520966445.

The spelling of 1191191616 in words is "one billion, one hundred ninety-one million, one hundred ninety-one thousand, six hundred sixteen".