16779005611281 has 48 divisors (see below), whose sum is σ = 25267333300560. Its totient is φ = 10716245729280.

The previous prime is 16779005611279. The next prime is 16779005611297. The reversal of 16779005611281 is 18211650097761.

16779005611281 is a `hidden beast` number, since 1 + 6 + 7 + 79 + 0 + 0 + 561 + 1 + 2 + 8 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1456947975681 + 15322057635600 = 1207041^2 + 3914340^2 .

It is not a de Polignac number, because 16779005611281 - 2¹ = 16779005611279 is a prime.

It is a super-2 number, since 2×16779005611281² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16779005611211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74297571 + ... + 74523063.

It is an arithmetic number, because the mean of its divisors is an integer number (526402777095).

Almost surely, 2^{16779005611281} is an apocalyptic number.

It is an amenable number.

16779005611281 is a deficient number, since it is larger than the sum of its proper divisors (8488327689279).

16779005611281 is a wasteful number, since it uses less digits than its factorization.

16779005611281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227746 (or 227743 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The spelling of 16779005611281 in words is "sixteen trillion, seven hundred seventy-nine billion, five million, six hundred eleven thousand, two hundred eighty-one".