416167712329 has 2 divisors, whose sum is σ = 416167712330. Its totient is φ = 416167712328.

The previous prime is 416167712327. The next prime is 416167712383. The reversal of 416167712329 is 923217761614.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 264352279104 + 151815433225 = 514152^2 + 389635^2 .

It is a cyclic number.

It is not a de Polignac number, because 416167712329 - 2¹ = 416167712327 is a prime.

Together with 416167712327, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (416167712327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208083856164 + 208083856165.

It is an arithmetic number, because the mean of its divisors is an integer number (208083856165).

Almost surely, 2^416167712329 is an apocalyptic number.

It is an amenable number.

416167712329 is a deficient number, since it is larger than the sum of its proper divisors (1).

416167712329 is an equidigital number, since it uses as much as digits as its factorization.

416167712329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 762048, while the sum is 49.

The spelling of 416167712329 in words is "four hundred sixteen billion, one hundred sixty-seven million, seven hundred twelve thousand, three hundred twenty-nine".