444624042073133 has 12 divisors (see below), whose sum is σ = 483523141207860. Its totient is φ = 408660724008576.

The previous prime is 444624042073007. The next prime is 444624042073213. The reversal of 444624042073133 is 331370240426444.

It can be written as a sum of positive squares in 6 ways, for example, as 37956405409129 + 406667636664004 = 6160877^2 + 20166002^2 .

It is not a de Polignac number, because 444624042073133 - 2¹⁴ = 444624042056749 is a prime.

It is a super-2 number, since 2×444624042073133² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444624042075133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5645693438 + ... + 5645772191.

It is an arithmetic number, because the mean of its divisors is an integer number (40293595100655).

Almost surely, 2^{444624042073133} is an apocalyptic number.

It is an amenable number.

444624042073133 is a deficient number, since it is larger than the sum of its proper divisors (38899099134727).

444624042073133 is a wasteful number, since it uses less digits than its factorization.

444624042073133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11291465888 (or 11291465875 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 47.

Adding to 444624042073133 its reverse (331370240426444), we get a palindrome (775994282499577).

The spelling of 444624042073133 in words is "four hundred forty-four trillion, six hundred twenty-four billion, forty-two million, seventy-three thousand, one hundred thirty-three".