10468144448107 has 16 divisors (see below), whose sum is σ = 11099540368000. Its totient is φ = 9844807630464.

The previous prime is 10468144448057. The next prime is 10468144448117. The reversal of 10468144448107 is 70184444186401.

It is a de Polignac number, because none of the positive numbers 2^k-10468144448107 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10468144448117) 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, 25517203 + ... + 25924195.

It is an arithmetic number, because the mean of its divisors is an integer number (693721273000).

Almost surely, 2^{10468144448107} is an apocalyptic number.

10468144448107 is a deficient number, since it is larger than the sum of its proper divisors (631395919893).

10468144448107 is a wasteful number, since it uses less digits than its factorization.

10468144448107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416890.

The product of its (nonzero) digits is 2752512, while the sum is 52.

The spelling of 10468144448107 in words is "ten trillion, four hundred sixty-eight billion, one hundred forty-four million, four hundred forty-eight thousand, one hundred seven".