11372644627311 has 16 divisors (see below), whose sum is σ = 16564412926080. Its totient is φ = 6883185071520.

The previous prime is 11372644627303. The next prime is 11372644627339.

11372644627311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11372644627311 - 2³ = 11372644627303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11372644627361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233145840 + ... + 233194613.

It is an arithmetic number, because the mean of its divisors is an integer number (1035275807880).

Almost surely, 2^{11372644627311} is an apocalyptic number.

11372644627311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11372644627311 is a deficient number, since it is larger than the sum of its proper divisors (5191768298769).

11372644627311 is a wasteful number, since it uses less digits than its factorization.

11372644627311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466341206.

The product of its digits is 1016064, while the sum is 48.

The spelling of 11372644627311 in words is "eleven trillion, three hundred seventy-two billion, six hundred forty-four million, six hundred twenty-seven thousand, three hundred eleven".