11283821531136 has 2808 divisors, whose sum is σ = 46313920467360. Its totient is φ = 2708884684800.

The previous prime is 11283821531123. The next prime is 11283821531137. The reversal of 11283821531136 is 63113512838211.

11283821531136 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 3 + 82 + 1 + 531 + 1 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11283821531091 and 11283821531100.

It is not an unprimeable number, because it can be changed into a prime (11283821531137) 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 215 ways as a sum of consecutive naturals, for example, 275215159276 + ... + 275215159316.

It is an arithmetic number, because the mean of its divisors is an integer number (16493561420).

Almost surely, 2^{11283821531136} is an apocalyptic number.

11283821531136 is a gapful number since it is divisible by the number (16) 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 11283821531136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23156960233680).

11283821531136 is an abundant number, since it is smaller than the sum of its proper divisors (35030098936224).

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

11283821531136 is an frugal number, since it uses more digits than its factorization.

11283821531136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 83 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 11283821531136 in words is "eleven trillion, two hundred eighty-three billion, eight hundred twenty-one million, five hundred thirty-one thousand, one hundred thirty-six".