11416566561411 has 32 divisors (see below), whose sum is σ = 16738992193536. Its totient is φ = 6863697540000.

The previous prime is 11416566561353. The next prime is 11416566561457.

11416566561411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11416566561411 - 2³⁰ = 11415492819587 is a prime.

It is a super-2 number, since 2×11416566561411² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11416566561311) 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, 30622756 + ... + 30993326.

It is an arithmetic number, because the mean of its divisors is an integer number (523093506048).

Almost surely, 2^{11416566561411} is an apocalyptic number.

11416566561411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11416566561411 is a deficient number, since it is larger than the sum of its proper divisors (5322425632125).

11416566561411 is a wasteful number, since it uses less digits than its factorization.

11416566561411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378063.

The product of its digits is 518400, while the sum is 48.

The spelling of 11416566561411 in words is "eleven trillion, four hundred sixteen billion, five hundred sixty-six million, five hundred sixty-one thousand, four hundred eleven".