1135342591992 has 192 divisors, whose sum is σ = 3533152296960. Its totient is φ = 322633497600.

The previous prime is 1135342591991. The next prime is 1135342592017. The reversal of 1135342591992 is 2991952435311.

It is a happy number.

1135342591992 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 3 + 42 + 591 + 9 + 9 + 2 = 666.

It is a super-2 number, since 2×1135342591992² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135342591991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104818017 + ... + 104828847.

It is an arithmetic number, because the mean of its divisors is an integer number (18401834880).

Almost surely, 2^{1135342591992} is an apocalyptic number.

1135342591992 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 1135342591992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766576148480).

1135342591992 is an abundant number, since it is smaller than the sum of its proper divisors (2397809704968).

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

1135342591992 is a wasteful number, since it uses less digits than its factorization.

1135342591992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11954 (or 11947 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 54.

The spelling of 1135342591992 in words is "one trillion, one hundred thirty-five billion, three hundred forty-two million, five hundred ninety-one thousand, nine hundred ninety-two".