414145241205453 has 20 divisors (see below), whose sum is σ = 618703701540540. Its totient is φ = 276077953426752.

The previous prime is 414145241205419. The next prime is 414145241205463. The reversal of 414145241205453 is 354502142541414.

414145241205453 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 4 + 524 + 1 + 20 + 54 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 112386755992644 + 301758485212809 = 10601262^2 + 17371197^2 .

It is not a de Polignac number, because 414145241205453 - 2¹⁸ = 414145240943309 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 414145241205399 and 414145241205408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414145241205463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 173567400 + ... + 175937297.

It is an arithmetic number, because the mean of its divisors is an integer number (30935185077027).

Almost surely, 2^{414145241205453} is an apocalyptic number.

It is an amenable number.

414145241205453 is a deficient number, since it is larger than the sum of its proper divisors (204558460335087).

414145241205453 is a wasteful number, since it uses less digits than its factorization.

414145241205453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349519338 (or 349519329 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

Adding to 414145241205453 its reverse (354502142541414), we get a palindrome (768647383746867).

The spelling of 414145241205453 in words is "four hundred fourteen trillion, one hundred forty-five billion, two hundred forty-one million, two hundred five thousand, four hundred fifty-three".