11013641344 has 64 divisors (see below), whose sum is σ = 22851315000. Its totient is φ = 5280980992.

The previous prime is 11013641341. The next prime is 11013641347. The reversal of 11013641344 is 44314631011.

It is an interprime number because it is at equal distance from previous prime (11013641341) and next prime (11013641347).

It can be written as a sum of positive squares in 4 ways, for example, as 4084743744 + 6928897600 = 63912^2 + 83240^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11013641344² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11013641341) 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, 543132 + ... + 563044.

Almost surely, 2^11013641344 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 11013641344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11425657500).

11013641344 is an abundant number, since it is smaller than the sum of its proper divisors (11837673656).

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

11013641344 is a wasteful number, since it uses less digits than its factorization.

11013641344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20105 (or 20093 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 11013641344 in words is "eleven billion, thirteen million, six hundred forty-one thousand, three hundred forty-four".