11416755761411 has 72 divisors (see below), whose sum is σ = 15693376914000. Its totient is φ = 8209167482880.

The previous prime is 11416755761393. The next prime is 11416755761413.

11416755761411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11416755761411 - 2³⁸ = 11141877854467 is a prime.

It is a super-2 number, since 2×11416755761411² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11416755761411.

It is not an unprimeable number, because it can be changed into a prime (11416755761413) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 303223115 + ... + 303260763.

It is an arithmetic number, because the mean of its divisors is an integer number (217963568250).

Almost surely, 2^{11416755761411} is an apocalyptic number.

11416755761411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11416755761411 is a deficient number, since it is larger than the sum of its proper divisors (4276621152589).

11416755761411 is a wasteful number, since it uses less digits than its factorization.

11416755761411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41029 (or 41009 counting only the distinct ones).

The product of its digits is 705600, while the sum is 50.

The spelling of 11416755761411 in words is "eleven trillion, four hundred sixteen billion, seven hundred fifty-five million, seven hundred sixty-one thousand, four hundred eleven".