11017605344 has 48 divisors (see below), whose sum is σ = 23707748736. Its totient is φ = 5017497600.

The previous prime is 11017605343. The next prime is 11017605359. The reversal of 11017605344 is 44350671011.

It is a super-2 number, since 2×11017605344² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 11017605344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11017605343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 309797 + ... + 343524.

It is an arithmetic number, because the mean of its divisors is an integer number (493911432).

Almost surely, 2^11017605344 is an apocalyptic number.

It is an amenable number.

11017605344 is an abundant number, since it is smaller than the sum of its proper divisors (12690143392).

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

11017605344 is a wasteful number, since it uses less digits than its factorization.

11017605344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653379 (or 653371 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 11017605344 in words is "eleven billion, seventeen million, six hundred five thousand, three hundred forty-four".