1191318920352 has 720 divisors, whose sum is σ = 4185209952000. Its totient is φ = 330921676800.

The previous prime is 1191318920329. The next prime is 1191318920381. The reversal of 1191318920352 is 2530298131911.

1191318920352 is a `hidden beast` number, since 1 + 191 + 31 + 89 + 2 + 0 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1191318920298 and 1191318920307.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 184726024 + ... + 184732472.

It is an arithmetic number, because the mean of its divisors is an integer number (5812791600).

Almost surely, 2^{1191318920352} is an apocalyptic number.

1191318920352 is a gapful number since it is divisible by the number (12) 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 1191318920352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092604976000).

1191318920352 is an abundant number, since it is smaller than the sum of its proper divisors (2993891031648).

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

1191318920352 is a wasteful number, since it uses less digits than its factorization.

1191318920352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6543 (or 6515 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 1191318920352 in words is "one trillion, one hundred ninety-one billion, three hundred eighteen million, nine hundred twenty thousand, three hundred fifty-two".