11355647793648 has 160 divisors (see below), whose sum is σ = 30021816576000. Its totient is φ = 3697512115968.

The previous prime is 11355647793641. The next prime is 11355647793661. The reversal of 11355647793648 is 84639774655311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11355647793641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443515215 + ... + 443540817.

It is an arithmetic number, because the mean of its divisors is an integer number (187636353600).

Almost surely, 2^{11355647793648} 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 11355647793648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15010908288000).

11355647793648 is an abundant number, since it is smaller than the sum of its proper divisors (18666168782352).

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

11355647793648 is a wasteful number, since it uses less digits than its factorization.

11355647793648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26659 (or 26653 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 69.

The spelling of 11355647793648 in words is "eleven trillion, three hundred fifty-five billion, six hundred forty-seven million, seven hundred ninety-three thousand, six hundred forty-eight".