1005144540345 has 48 divisors (see below), whose sum is σ = 1901208621312. Its totient is φ = 487196225280.

The previous prime is 1005144540341. The next prime is 1005144540391. The reversal of 1005144540345 is 5430454415001.

1005144540345 is a `hidden beast` number, since 100 + 5 + 1 + 4 + 4 + 540 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 1005144540345 - 2² = 1005144540341 is a prime.

It is a super-2 number, since 2×1005144540345² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005144540341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1351077 + ... + 1958493.

It is an arithmetic number, because the mean of its divisors is an integer number (39608512944).

Almost surely, 2^{1005144540345} is an apocalyptic number.

1005144540345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005144540345 is a deficient number, since it is larger than the sum of its proper divisors (896064080967).

1005144540345 is a wasteful number, since it uses less digits than its factorization.

1005144540345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610782 (or 610779 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 1005144540345 its reverse (5430454415001), we get a palindrome (6435598955346).

The spelling of 1005144540345 in words is "one trillion, five billion, one hundred forty-four million, five hundred forty thousand, three hundred forty-five".