11416544561411 has 32 divisors (see below), whose sum is σ = 12613884192000. Its totient is φ = 10246687056000.

The previous prime is 11416544561393. The next prime is 11416544561497.

It is a happy number.

11416544561411 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11416544561411 - 2²⁶ = 11416477452547 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11416544567411) 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, 632171300 + ... + 632189358.

It is an arithmetic number, because the mean of its divisors is an integer number (394183881000).

Almost surely, 2^{11416544561411} is an apocalyptic number.

11416544561411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11416544561411 is a deficient number, since it is larger than the sum of its proper divisors (1197339630589).

11416544561411 is a wasteful number, since it uses less digits than its factorization.

11416544561411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20531.

The product of its digits is 230400, while the sum is 44.

The spelling of 11416544561411 in words is "eleven trillion, four hundred sixteen billion, five hundred forty-four million, five hundred sixty-one thousand, four hundred eleven".