11661671637 has 48 divisors (see below), whose sum is σ = 21025105920. Its totient is φ = 6051088800.

The previous prime is 11661671621. The next prime is 11661671647. The reversal of 11661671637 is 73617616611.

11661671637 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 1 + 6 + 7 + 1 + 637 = 666.

It is not a de Polignac number, because 11661671637 - 2⁴ = 11661671621 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 11661671592 and 11661671601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11661671647) 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, 627712 + ... + 646022.

It is an arithmetic number, because the mean of its divisors is an integer number (438023040).

Almost surely, 2^11661671637 is an apocalyptic number.

It is an amenable number.

11661671637 is a deficient number, since it is larger than the sum of its proper divisors (9363434283).

11661671637 is a wasteful number, since it uses less digits than its factorization.

11661671637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19254 (or 19251 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The spelling of 11661671637 in words is "eleven billion, six hundred sixty-one million, six hundred seventy-one thousand, six hundred thirty-seven".