1468041744105 has 12 divisors (see below), whose sum is σ = 2544605689860. Its totient is φ = 782955596832.

The previous prime is 1468041744089. The next prime is 1468041744131. The reversal of 1468041744105 is 5014471408641.

1468041744105 is a `hidden beast` number, since 1 + 4 + 68 + 0 + 4 + 174 + 410 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 973884764736 + 494156979369 = 986856^2 + 702963^2 .

It is not a de Polignac number, because 1468041744105 - 2⁴ = 1468041744089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 32623149869 = 1468041744105 / (1 + 4 + 6 + 8 + 0 + 4 + 1 + 7 + 4 + 4 + 1 + 0 + 5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16311574890 + ... + 16311574979.

It is an arithmetic number, because the mean of its divisors is an integer number (212050474155).

Almost surely, 2^{1468041744105} is an apocalyptic number.

1468041744105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1468041744105 is a deficient number, since it is larger than the sum of its proper divisors (1076563945755).

1468041744105 is a wasteful number, since it uses less digits than its factorization.

1468041744105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32623149880 (or 32623149877 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 1468041744105 in words is "one trillion, four hundred sixty-eight billion, forty-one million, seven hundred forty-four thousand, one hundred five".