10971644617901 has 8 divisors (see below), whose sum is σ = 11969357559264. Its totient is φ = 9973980127120.

The previous prime is 10971644617859. The next prime is 10971644617937.

It is a happy number.

10971644617901 is nontrivially palindromic in base 10.

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 10971644617901 - 2¹⁸ = 10971644355757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10971644617951) 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, 11638346 + ... + 12545691.

It is an arithmetic number, because the mean of its divisors is an integer number (1496169694908).

Almost surely, 2^{10971644617901} is an apocalyptic number.

10971644617901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10971644617901 is a deficient number, since it is larger than the sum of its proper divisors (997712941363).

10971644617901 is a wasteful number, since it uses less digits than its factorization.

10971644617901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24225291.

The product of its (nonzero) digits is 2286144, while the sum is 56.

The spelling of 10971644617901 in words is "ten trillion, nine hundred seventy-one billion, six hundred forty-four million, six hundred seventeen thousand, nine hundred one".