11341803828096 has 768 divisors, whose sum is σ = 41678966476800. Its totient is φ = 2970859991040.

The previous prime is 11341803828073. The next prime is 11341803828097. The reversal of 11341803828096 is 69082830814311.

11341803828096 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 180 + 382 + 80 + 9 + 6 = 666.

It is a super-4 number, since 4×11341803828096⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11341803828097) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 270711726 + ... + 270753618.

It is an arithmetic number, because the mean of its divisors is an integer number (54269487600).

Almost surely, 2^{11341803828096} is an apocalyptic number.

11341803828096 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 11341803828096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20839483238400).

11341803828096 is an abundant number, since it is smaller than the sum of its proper divisors (30337162648704).

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

11341803828096 is a wasteful number, since it uses less digits than its factorization.

11341803828096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41992 (or 41955 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 11341803828096 in words is "eleven trillion, three hundred forty-one billion, eight hundred three million, eight hundred twenty-eight thousand, ninety-six".