1133984581632 has 576 divisors, whose sum is σ = 3977242214400. Its totient is φ = 304331489280.

The previous prime is 1133984581621. The next prime is 1133984581633. The reversal of 1133984581632 is 2361854893311.

It is a happy number.

1133984581632 is a `hidden beast` number, since 11 + 33 + 98 + 458 + 1 + 63 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (1133984581633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138438657 + ... + 138446847.

It is an arithmetic number, because the mean of its divisors is an integer number (6904934400).

Almost surely, 2^{1133984581632} is an apocalyptic number.

1133984581632 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 1133984581632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988621107200).

1133984581632 is an abundant number, since it is smaller than the sum of its proper divisors (2843257632768).

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

1133984581632 is a wasteful number, since it uses less digits than its factorization.

1133984581632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8292 (or 8269 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 1133984581632 in words is "one trillion, one hundred thirty-three billion, nine hundred eighty-four million, five hundred eighty-one thousand, six hundred thirty-two".