11171267941344 has 96 divisors (see below), whose sum is σ = 33542426002176. Its totient is φ = 3189064919040.

The previous prime is 11171267941319. The next prime is 11171267941357. The reversal of 11171267941344 is 44314976217111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6311257 + ... + 7885080.

It is an arithmetic number, because the mean of its divisors is an integer number (349400270856).

Almost surely, 2^{11171267941344} is an apocalyptic number.

11171267941344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11171267941344 is an abundant number, since it is smaller than the sum of its proper divisors (22371158060832).

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

11171267941344 is a wasteful number, since it uses less digits than its factorization.

11171267941344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14197528 (or 14197520 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 51.

The spelling of 11171267941344 in words is "eleven trillion, one hundred seventy-one billion, two hundred sixty-seven million, nine hundred forty-one thousand, three hundred forty-four".