1134037567744 has 243 divisors, whose sum is σ = 2490646723929. Its totient is φ = 515247022080.

The previous prime is 1134037567703. The next prime is 1134037567771. The reversal of 1134037567744 is 4477657304311.

The square root of 1134037567744 is 1064912.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19982649600 + 1114054918144 = 141360^2 + 1055488^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1134037567691 and 1134037567700.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10035730632 + ... + 10035730744.

Almost surely, 2^{1134037567744} is an apocalyptic number.

1134037567744 is the 1064912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134037567744

1134037567744 is an abundant number, since it is smaller than the sum of its proper divisors (1356609156185).

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

1134037567744 is an frugal number, since it uses more digits than its factorization.

1134037567744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 52.

The spelling of 1134037567744 in words is "one trillion, one hundred thirty-four billion, thirty-seven million, five hundred sixty-seven thousand, seven hundred forty-four".