100443444344001 has 144 divisors (see below), whose sum is σ = 169769039824384. Its totient is φ = 57080909952000.

The previous prime is 100443444343951. The next prime is 100443444344053.

100443444344001 is a `hidden beast` number, since 100 + 4 + 43 + 44 + 434 + 40 + 0 + 1 = 666.

100443444344001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100443444344001 - 2⁶ = 100443444343937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100443444344101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 300862170 + ... + 301195836.

Almost surely, 2^{100443444344001} is an apocalyptic number.

100443444344001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100443444344001 is a deficient number, since it is larger than the sum of its proper divisors (69325595480383).

100443444344001 is a wasteful number, since it uses less digits than its factorization.

100443444344001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334004 (or 333990 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 100443 and 444344001, that added together give a palindrome (444444444).

The spelling of 100443444344001 in words is "one hundred trillion, four hundred forty-three billion, four hundred forty-four million, three hundred forty-four thousand, one".