1134933012288 has 168 divisors, whose sum is σ = 3286011663168. Its totient is φ = 374489837568.

The previous prime is 1134933012247. The next prime is 1134933012307. The reversal of 1134933012288 is 8822103394311.

It is a happy number.

1134933012288 is a `hidden beast` number, since 1 + 1 + 3 + 493 + 30 + 122 + 8 + 8 = 666.

It is a super-2 number, since 2×1134933012288² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53556831 + ... + 53578017.

Almost surely, 2^{1134933012288} is an apocalyptic number.

1134933012288 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 1134933012288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643005831584).

1134933012288 is an abundant number, since it is smaller than the sum of its proper divisors (2151078650880).

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

1134933012288 is a wasteful number, since it uses less digits than its factorization.

1134933012288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22141 (or 22128 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1134933012288 in words is "one trillion, one hundred thirty-four billion, nine hundred thirty-three million, twelve thousand, two hundred eighty-eight".