414514512250101 has 12 divisors (see below), whose sum is σ = 598773180271500. Its totient is φ = 276329163900480.

The previous prime is 414514512250019. The next prime is 414514512250129. The reversal of 414514512250101 is 101052215415414.

414514512250101 is a `hidden beast` number, since 4 + 1 + 4 + 5 + 14 + 512 + 25 + 0 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 158439466751076 + 256075045499025 = 12587274^2 + 16002345^2 .

It is not a de Polignac number, because 414514512250101 - 2⁴³ = 405718419227893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414514512257101) 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 11 ways as a sum of consecutive naturals, for example, 1153499226 + ... + 1153858523.

It is an arithmetic number, because the mean of its divisors is an integer number (49897765022625).

Almost surely, 2^{414514512250101} is an apocalyptic number.

It is an amenable number.

414514512250101 is a deficient number, since it is larger than the sum of its proper divisors (184258668021399).

414514512250101 is a wasteful number, since it uses less digits than its factorization.

414514512250101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307377716 (or 2307377713 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

Adding to 414514512250101 its reverse (101052215415414), we get a palindrome (515566727665515).

The spelling of 414514512250101 in words is "four hundred fourteen trillion, five hundred fourteen billion, five hundred twelve million, two hundred fifty thousand, one hundred one".