1134221280192 has 2016 divisors, whose sum is σ = 4759368606720. Its totient is φ = 248898355200.

The previous prime is 1134221280191. The next prime is 1134221280209. The reversal of 1134221280192 is 2910821224311.

It is a happy number.

1134221280192 is a `hidden beast` number, since 1 + 1 + 342 + 2 + 128 + 0 + 192 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134221280191) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12744059284 + ... + 12744059372.

It is an arithmetic number, because the mean of its divisors is an integer number (2360797920).

Almost surely, 2^{1134221280192} is an apocalyptic number.

1134221280192 is a gapful number since it is divisible by the number (12) 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 1134221280192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379684303360).

1134221280192 is an abundant number, since it is smaller than the sum of its proper divisors (3625147326528).

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

1134221280192 is a wasteful number, since it uses less digits than its factorization.

1134221280192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 1134221280192 in words is "one trillion, one hundred thirty-four billion, two hundred twenty-one million, two hundred eighty thousand, one hundred ninety-two".