10842344324801 has 16 divisors (see below), whose sum is σ = 11933452752768. Its totient is φ = 9768820588800.

The previous prime is 10842344324731. The next prime is 10842344324803.

10842344324801 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10842344324801 - 2¹⁸ = 10842344062657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10842344324803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19604075 + ... + 20149551.

It is an arithmetic number, because the mean of its divisors is an integer number (745840797048).

Almost surely, 2^{10842344324801} is an apocalyptic number.

10842344324801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10842344324801 is a deficient number, since it is larger than the sum of its proper divisors (1091108427967).

10842344324801 is a wasteful number, since it uses less digits than its factorization.

10842344324801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561592.

The product of its (nonzero) digits is 589824, while the sum is 44.

The spelling of 10842344324801 in words is "ten trillion, eight hundred forty-two billion, three hundred forty-four million, three hundred twenty-four thousand, eight hundred one".