414151411153 has 2 divisors, whose sum is σ = 414151411154. Its totient is φ = 414151411152.

The previous prime is 414151411133. The next prime is 414151411183. The reversal of 414151411153 is 351114151414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 409693445329 + 4457965824 = 640073^2 + 66768^2 .

It is a cyclic number.

It is not a de Polignac number, because 414151411153 - 2⁹ = 414151410641 is a prime.

It is not a weakly prime, because it can be changed into another prime (414151411123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207075705576 + 207075705577.

It is an arithmetic number, because the mean of its divisors is an integer number (207075705577).

Almost surely, 2^414151411153 is an apocalyptic number.

It is an amenable number.

414151411153 is a deficient number, since it is larger than the sum of its proper divisors (1).

414151411153 is an equidigital number, since it uses as much as digits as its factorization.

414151411153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4800, while the sum is 31.

Adding to 414151411153 its reverse (351114151414), we get a palindrome (765265562567).

The spelling of 414151411153 in words is "four hundred fourteen billion, one hundred fifty-one million, four hundred eleven thousand, one hundred fifty-three".