11332349744256 has 384 divisors, whose sum is σ = 34486806369600. Its totient is φ = 3561947136000.

The previous prime is 11332349744251. The next prime is 11332349744257. The reversal of 11332349744256 is 65244794323311.

11332349744256 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 2 + 349 + 7 + 44 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×11332349744256² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11332349744251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7078293856 + ... + 7078295456.

Almost surely, 2^{11332349744256} is an apocalyptic number.

11332349744256 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 11332349744256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17243403184800).

11332349744256 is an abundant number, since it is smaller than the sum of its proper divisors (23154456625344).

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

11332349744256 is a wasteful number, since it uses less digits than its factorization.

11332349744256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2933 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 11332349744256 in words is "eleven trillion, three hundred thirty-two billion, three hundred forty-nine million, seven hundred forty-four thousand, two hundred fifty-six".