11044656256356 has 192 divisors, whose sum is σ = 29850024960000. Its totient is φ = 3527626101120.

The previous prime is 11044656256339. The next prime is 11044656256427. The reversal of 11044656256356 is 65365265644011.

11044656256356 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 4 + 6 + 5 + 625 + 6 + 3 + 5 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 780589170 + ... + 780603318.

It is an arithmetic number, because the mean of its divisors is an integer number (155468880000).

Almost surely, 2^{11044656256356} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11044656256356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14925012480000).

11044656256356 is an abundant number, since it is smaller than the sum of its proper divisors (18805368703644).

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

11044656256356 is a wasteful number, since it uses less digits than its factorization.

11044656256356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16479 (or 16471 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 11044656256356 in words is "eleven trillion, forty-four billion, six hundred fifty-six million, two hundred fifty-six thousand, three hundred fifty-six".