11634581680577 has 8 divisors (see below), whose sum is σ = 12322274236416. Its totient is φ = 10947256391232.

The previous prime is 11634581680567. The next prime is 11634581680597. The reversal of 11634581680577 is 77508618543611.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 11634581680577 - 2⁸ = 11634581680321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11634581680567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91751393 + ... + 91878110.

It is an arithmetic number, because the mean of its divisors is an integer number (1540284279552).

Almost surely, 2^{11634581680577} is an apocalyptic number.

11634581680577 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

11634581680577 is a deficient number, since it is larger than the sum of its proper divisors (687692555839).

11634581680577 is a wasteful number, since it uses less digits than its factorization.

11634581680577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183633247.

The product of its (nonzero) digits is 33868800, while the sum is 62.

The spelling of 11634581680577 in words is "eleven trillion, six hundred thirty-four billion, five hundred eighty-one million, six hundred eighty thousand, five hundred seventy-seven".