414013223163013 has 64 divisors (see below), whose sum is σ = 476415841370112. Its totient is φ = 357461238435840.

The previous prime is 414013223163011. The next prime is 414013223163053. The reversal of 414013223163013 is 310361322310414.

It is a cyclic number.

It is not a de Polignac number, because 414013223163013 - 2¹ = 414013223163011 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414013223163013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414013223163011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21184722520 + ... + 21184742062.

It is an arithmetic number, because the mean of its divisors is an integer number (7443997521408).

Almost surely, 2^{414013223163013} is an apocalyptic number.

It is an amenable number.

414013223163013 is a deficient number, since it is larger than the sum of its proper divisors (62402618207099).

414013223163013 is a wasteful number, since it uses less digits than its factorization.

414013223163013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35194.

The product of its (nonzero) digits is 31104, while the sum is 34.

Adding to 414013223163013 its reverse (310361322310414), we get a palindrome (724374545473427).

The spelling of 414013223163013 in words is "four hundred fourteen trillion, thirteen billion, two hundred twenty-three million, one hundred sixty-three thousand, thirteen".