3677113506141 has 36 divisors (see below), whose sum is σ = 5643379119196. Its totient is φ = 2306386051200.

The previous prime is 3677113506127. The next prime is 3677113506149. The reversal of 3677113506141 is 1416053117763.

3677113506141 is a `hidden beast` number, since 3 + 67 + 71 + 1 + 3 + 506 + 14 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120985013241 + 3556128492900 = 347829^2 + 1885770^2 .

It is not a de Polignac number, because 3677113506141 - 2⁷ = 3677113506013 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3677113506149) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6040240 + ... + 6621081.

Almost surely, 2^{3677113506141} is an apocalyptic number.

It is an amenable number.

3677113506141 is a deficient number, since it is larger than the sum of its proper divisors (1966265613055).

3677113506141 is a wasteful number, since it uses less digits than its factorization.

3677113506141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12661434 (or 12661408 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 3677113506141 in words is "three trillion, six hundred seventy-seven billion, one hundred thirteen million, five hundred six thousand, one hundred forty-one".