16377766777361 has 24 divisors (see below), whose sum is σ = 18793816231680. Its totient is φ = 14234628024320.

The previous prime is 16377766777297. The next prime is 16377766777363.

16377766777361 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16377766777361 - 2⁶ = 16377766777297 is a prime.

It is a super-2 number, since 2×16377766777361² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16377766777363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4315025 + ... + 7167633.

It is an arithmetic number, because the mean of its divisors is an integer number (783075676320).

Almost surely, 2^{16377766777361} is an apocalyptic number.

16377766777361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16377766777361 is a deficient number, since it is larger than the sum of its proper divisors (2416049454319).

16377766777361 is a wasteful number, since it uses less digits than its factorization.

16377766777361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854717 (or 2854706 counting only the distinct ones).

The product of its digits is 1372257936, while the sum is 74.

The spelling of 16377766777361 in words is "sixteen trillion, three hundred seventy-seven billion, seven hundred sixty-six million, seven hundred seventy-seven thousand, three hundred sixty-one".