13761671680281 has 32 divisors (see below), whose sum is σ = 21050033729536. Its totient is φ = 7833868992000.

The previous prime is 13761671680277. The next prime is 13761671680313. The reversal of 13761671680281 is 18208617616731.

It is not a de Polignac number, because 13761671680281 - 2² = 13761671680277 is a prime.

It is a super-2 number, since 2×13761671680281² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13761671680681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49549641 + ... + 49826601.

It is an arithmetic number, because the mean of its divisors is an integer number (657813554048).

Almost surely, 2^{13761671680281} is an apocalyptic number.

It is an amenable number.

13761671680281 is a deficient number, since it is larger than the sum of its proper divisors (7288362049255).

13761671680281 is a wasteful number, since it uses less digits than its factorization.

13761671680281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285973.

The product of its (nonzero) digits is 4064256, while the sum is 57.

The spelling of 13761671680281 in words is "thirteen trillion, seven hundred sixty-one billion, six hundred seventy-one million, six hundred eighty thousand, two hundred eighty-one".