11638482672567 has 8 divisors (see below), whose sum is σ = 15518274379120. Its totient is φ = 7758839707200.

The previous prime is 11638482672547. The next prime is 11638482672581. The reversal of 11638482672567 is 76527628483611.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 11638482672567 - 2¹² = 11638482668471 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11638482672498 and 11638482672507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11638482672527) 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 7 ways as a sum of consecutive naturals, for example, 37002592 + ... + 37315797.

It is an arithmetic number, because the mean of its divisors is an integer number (1939784297390).

Almost surely, 2^{11638482672567} is an apocalyptic number.

11638482672567 is a deficient number, since it is larger than the sum of its proper divisors (3879791706553).

11638482672567 is an equidigital number, since it uses as much as digits as its factorization.

11638482672567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74370593.

The product of its digits is 162570240, while the sum is 66.

The spelling of 11638482672567 in words is "eleven trillion, six hundred thirty-eight billion, four hundred eighty-two million, six hundred seventy-two thousand, five hundred sixty-seven".