1193331916800 has 660 divisors, whose sum is σ = 4436658215946. Its totient is φ = 317089382400.

The previous prime is 1193331916783. The next prime is 1193331916813. The reversal of 1193331916800 is 86191333911.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 972416876544 + 220915040256 = 986112^2 + 470016^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4246732660 + ... + 4246732940.

Almost surely, 2^{1193331916800} is an apocalyptic number.

1193331916800 is a gapful number since it is divisible by the number (10) 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 1193331916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218329107973).

1193331916800 is an abundant number, since it is smaller than the sum of its proper divisors (3243326299146).

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

1193331916800 is an frugal number, since it uses more digits than its factorization.

1193331916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 1193331916800 in words is "one trillion, one hundred ninety-three billion, three hundred thirty-one million, nine hundred sixteen thousand, eight hundred".