11338779344256 has 3072 divisors, whose sum is σ = 46706429952000. Its totient is φ = 2653417046016.

The previous prime is 11338779344219. The next prime is 11338779344273. The reversal of 11338779344256 is 65244397783311.

11338779344256 is a `hidden beast` number, since 1 + 1 + 3 + 38 + 7 + 7 + 9 + 344 + 256 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 11338779344193 and 11338779344202.

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 110085236301 + ... + 110085236403.

It is an arithmetic number, because the mean of its divisors is an integer number (15203916000).

Almost surely, 2^{11338779344256} is an apocalyptic number.

11338779344256 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 11338779344256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23353214976000).

11338779344256 is an abundant number, since it is smaller than the sum of its proper divisors (35367650607744).

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

11338779344256 is a wasteful number, since it uses less digits than its factorization.

11338779344256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 259 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 11338779344256 in words is "eleven trillion, three hundred thirty-eight billion, seven hundred seventy-nine million, three hundred forty-four thousand, two hundred fifty-six".