10007141104448 has 28 divisors (see below), whose sum is σ = 19883743770660. Its totient is φ = 4997063933952.

The previous prime is 10007141104447. The next prime is 10007141104453. The reversal of 10007141104448 is 84440114170001.

It can be written as a sum of positive squares in 2 ways, for example, as 3132928320064 + 6874212784384 = 1770008^2 + 2621872^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007141104447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 101616311 + ... + 101714742.

It is an arithmetic number, because the mean of its divisors is an integer number (710133706095).

Almost surely, 2^{10007141104448} is an apocalyptic number.

It is an amenable number.

10007141104448 is a deficient number, since it is larger than the sum of its proper divisors (9876602666212).

10007141104448 is an equidigital number, since it uses as much as digits as its factorization.

10007141104448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203331834 (or 203331824 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

Adding to 10007141104448 its reverse (84440114170001), we get a palindrome (94447255274449).

The spelling of 10007141104448 in words is "ten trillion, seven billion, one hundred forty-one million, one hundred four thousand, four hundred forty-eight".