1133853251328 has 540 divisors, whose sum is σ = 4140003427560. Its totient is φ = 306902421504.

The previous prime is 1133853251299. The next prime is 1133853251351. The reversal of 1133853251328 is 8231523583311.

1133853251328 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 85 + 32 + 513 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19275850 + ... + 19334582.

It is an arithmetic number, because the mean of its divisors is an integer number (7666673014).

Almost surely, 2^{1133853251328} is an apocalyptic number.

1133853251328 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 1133853251328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070001713780).

1133853251328 is an abundant number, since it is smaller than the sum of its proper divisors (3006150176232).

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

1133853251328 is an equidigital number, since it uses as much as digits as its factorization.

1133853251328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58794 (or 58764 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 1133853251328 in words is "one trillion, one hundred thirty-three billion, eight hundred fifty-three million, two hundred fifty-one thousand, three hundred twenty-eight".