1135045368000 has 336 divisors, whose sum is σ = 4069061309664. Its totient is φ = 302021683200.

The previous prime is 1135045367987. The next prime is 1135045368011. The reversal of 1135045368000 is 8635405311.

1135045368000 is a `hidden beast` number, since 11 + 35 + 0 + 4 + 536 + 80 + 0 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 33607122 + ... + 33640878.

Almost surely, 2^{1135045368000} is an apocalyptic number.

1135045368000 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 1135045368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034530654832).

1135045368000 is an abundant number, since it is smaller than the sum of its proper divisors (2934015941664).

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

1135045368000 is a wasteful number, since it uses less digits than its factorization.

1135045368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34257 (or 34234 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1135045368000 in words is "one trillion, one hundred thirty-five billion, forty-five million, three hundred sixty-eight thousand".