1468138318641 has 32 divisors (see below), whose sum is σ = 2251725611520. Its totient is φ = 944811775872.

The previous prime is 1468138318601. The next prime is 1468138318643.

1468138318641 is a `hidden beast` number, since 1 + 4 + 6 + 81 + 383 + 186 + 4 + 1 = 666.

1468138318641 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1468138318641 - 2⁷ = 1468138318513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1468138318643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7831510 + ... + 8016783.

It is an arithmetic number, because the mean of its divisors is an integer number (70366425360).

Almost surely, 2^{1468138318641} is an apocalyptic number.

It is an amenable number.

1468138318641 is a deficient number, since it is larger than the sum of its proper divisors (783587292879).

1468138318641 is a wasteful number, since it uses less digits than its factorization.

1468138318641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15848422 (or 15848416 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 1468138318641 in words is "one trillion, four hundred sixty-eight billion, one hundred thirty-eight million, three hundred eighteen thousand, six hundred forty-one".