414301153113 has 6 divisors (see below), whose sum is σ = 598434998954. Its totient is φ = 276200768736.

The previous prime is 414301153103. The next prime is 414301153127. The reversal of 414301153113 is 311351103414.

414301153113 is a `hidden beast` number, since 4 + 1 + 430 + 115 + 3 + 113 = 666.

It can be written as a sum of positive squares in only one way, i.e., 319183191369 + 95117961744 = 564963^2 + 308412^2 .

It is not a de Polignac number, because 414301153113 - 2⁵ = 414301153081 is a prime.

It is a super-3 number, since 3×414301153113³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414301153103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23016730720 + ... + 23016730737.

Almost surely, 2^414301153113 is an apocalyptic number.

It is an amenable number.

414301153113 is a deficient number, since it is larger than the sum of its proper divisors (184133845841).

414301153113 is a wasteful number, since it uses less digits than its factorization.

414301153113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46033461463 (or 46033461460 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 414301153113 its reverse (311351103414), we get a palindrome (725652256527).

The spelling of 414301153113 in words is "four hundred fourteen billion, three hundred one million, one hundred fifty-three thousand, one hundred thirteen".