11144031615601 has 32 divisors (see below), whose sum is σ = 11680650622368. Its totient is φ = 10623222005760.

The previous prime is 11144031615571. The next prime is 11144031615671. The reversal of 11144031615601 is 10651613044111.

It can be written as a sum of positive squares in 16 ways, for example, as 9902759328225 + 1241272287376 = 3146865^2 + 1114124^2 .

It is not a de Polignac number, because 11144031615601 - 2⁹ = 11144031615089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11144031615671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158321451 + ... + 158391823.

It is an arithmetic number, because the mean of its divisors is an integer number (365020331949).

Almost surely, 2^{11144031615601} is an apocalyptic number.

It is an amenable number.

11144031615601 is a deficient number, since it is larger than the sum of its proper divisors (536619006767).

11144031615601 is a wasteful number, since it uses less digits than its factorization.

11144031615601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70981.

The product of its (nonzero) digits is 8640, while the sum is 34.

Adding to 11144031615601 its reverse (10651613044111), we get a palindrome (21795644659712).

The spelling of 11144031615601 in words is "eleven trillion, one hundred forty-four billion, thirty-one million, six hundred fifteen thousand, six hundred one".