1134813708288 has 272 divisors, whose sum is σ = 3621103759840. Its totient is φ = 349166370816.

The previous prime is 1134813708283. The next prime is 1134813708293. The reversal of 1134813708288 is 8828073184311.

1134813708288 is a `hidden beast` number, since 1 + 1 + 3 + 481 + 3 + 7 + 0 + 82 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (1134813708283) and next prime (1134813708293).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1134813708283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22978470 + ... + 23027802.

It is an arithmetic number, because the mean of its divisors is an integer number (13312881470).

Almost surely, 2^{1134813708288} is an apocalyptic number.

1134813708288 is a gapful number since it is divisible by the number (18) 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 1134813708288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810551879920).

1134813708288 is an abundant number, since it is smaller than the sum of its proper divisors (2486290051552).

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

1134813708288 is an frugal number, since it uses more digits than its factorization.

1134813708288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49387 (or 49351 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 1134813708288 in words is "one trillion, one hundred thirty-four billion, eight hundred thirteen million, seven hundred eight thousand, two hundred eighty-eight".