1463441057145 has 20 divisors (see below), whose sum is σ = 2623353599460. Its totient is φ = 780501896928.

The previous prime is 1463441057129. The next prime is 1463441057191. The reversal of 1463441057145 is 5417501443641.

1463441057145 is a `hidden beast` number, since 1 + 4 + 6 + 34 + 4 + 1 + 0 + 571 + 45 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 873856648809 + 589584408336 = 934803^2 + 767844^2 .

It is not a de Polignac number, because 1463441057145 - 2⁴ = 1463441057129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1463441057145.

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 19 ways as a sum of consecutive naturals, for example, 1806716950 + ... + 1806717759.

It is an arithmetic number, because the mean of its divisors is an integer number (131167679973).

Almost surely, 2^{1463441057145} is an apocalyptic number.

1463441057145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1463441057145 is a deficient number, since it is larger than the sum of its proper divisors (1159912542315).

1463441057145 is an equidigital number, since it uses as much as digits as its factorization.

1463441057145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3613434726 (or 3613434717 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 1463441057145 in words is "one trillion, four hundred sixty-three billion, four hundred forty-one million, fifty-seven thousand, one hundred forty-five".