1133418064720 has 80 divisors (see below), whose sum is σ = 2663499056400. Its totient is φ = 448520671232.

The previous prime is 1133418064703. The next prime is 1133418064733. The reversal of 1133418064720 is 274608143311.

It can be written as a sum of positive squares in 8 ways, for example, as 3695667264 + 1129722397456 = 60792^2 + 1062884^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3034806 + ... + 3387754.

It is an arithmetic number, because the mean of its divisors is an integer number (33293738205).

Almost surely, 2^{1133418064720} is an apocalyptic number.

1133418064720 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 1133418064720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331749528200).

1133418064720 is an abundant number, since it is smaller than the sum of its proper divisors (1530080991680).

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

1133418064720 is a wasteful number, since it uses less digits than its factorization.

1133418064720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353392 (or 353386 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 1133418064720 in words is "one trillion, one hundred thirty-three billion, four hundred eighteen million, sixty-four thousand, seven hundred twenty".