1134681830080 has 224 divisors, whose sum is σ = 2948318208000. Its totient is φ = 414356705280.

The previous prime is 1134681830077. The next prime is 1134681830081. The reversal of 1134681830080 is 800381864311.

It is not an unprimeable number, because it can be changed into a prime (1134681830081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45034126 + ... + 45059314.

Almost surely, 2^{1134681830080} is an apocalyptic number.

1134681830080 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 1134681830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474159104000).

1134681830080 is an abundant number, since it is smaller than the sum of its proper divisors (1813636377920).

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

1134681830080 is a wasteful number, since it uses less digits than its factorization.

1134681830080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25495 (or 25485 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 1134681830080 in words is "one trillion, one hundred thirty-four billion, six hundred eighty-one million, eight hundred thirty thousand, eighty".