414015516457 has 2 divisors, whose sum is σ = 414015516458. Its totient is φ = 414015516456.

The previous prime is 414015516367. The next prime is 414015516491. The reversal of 414015516457 is 754615510414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 320026672681 + 93988843776 = 565709^2 + 306576^2 .

It is a cyclic number.

It is not a de Polignac number, because 414015516457 - 2¹⁵ = 414015483689 is a prime.

It is not a weakly prime, because it can be changed into another prime (414015516157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207007758228 + 207007758229.

It is an arithmetic number, because the mean of its divisors is an integer number (207007758229).

Almost surely, 2^414015516457 is an apocalyptic number.

It is an amenable number.

414015516457 is a deficient number, since it is larger than the sum of its proper divisors (1).

414015516457 is an equidigital number, since it uses as much as digits as its factorization.

414015516457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336000, while the sum is 43.

The spelling of 414015516457 in words is "four hundred fourteen billion, fifteen million, five hundred sixteen thousand, four hundred fifty-seven".