414113142345 has 32 divisors (see below), whose sum is σ = 775704625920. Its totient is φ = 184691573760.

The previous prime is 414113142343. The next prime is 414113142347. The reversal of 414113142345 is 543241311414.

It is an interprime number because it is at equal distance from previous prime (414113142343) and next prime (414113142347).

It is not a de Polignac number, because 414113142345 - 2¹ = 414113142343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414113142343) 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, 48092460 + ... + 48101069.

It is an arithmetic number, because the mean of its divisors is an integer number (24240769560).

Almost surely, 2^414113142345 is an apocalyptic number.

It is an amenable number.

414113142345 is a deficient number, since it is larger than the sum of its proper divisors (361591483575).

414113142345 is a wasteful number, since it uses less digits than its factorization.

414113142345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96193585.

The product of its digits is 23040, while the sum is 33.

Adding to 414113142345 its reverse (543241311414), we get a palindrome (957354453759).

The spelling of 414113142345 in words is "four hundred fourteen billion, one hundred thirteen million, one hundred forty-two thousand, three hundred forty-five".