1129114456704 has 256 divisors, whose sum is σ = 3593647680000. Its totient is φ = 346950438912.

The previous prime is 1129114456693. The next prime is 1129114456733. The reversal of 1129114456704 is 4076544119211.

1129114456704 is a `hidden beast` number, since 1 + 12 + 9 + 114 + 456 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1129114456704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33993897 + ... + 34027095.

It is an arithmetic number, because the mean of its divisors is an integer number (14037686250).

Almost surely, 2^{1129114456704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1129114456704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796823840000).

1129114456704 is an abundant number, since it is smaller than the sum of its proper divisors (2464533223296).

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

1129114456704 is a wasteful number, since it uses less digits than its factorization.

1129114456704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33992 (or 33974 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1129114456704 in words is "one trillion, one hundred twenty-nine billion, one hundred fourteen million, four hundred fifty-six thousand, seven hundred four".