416378691137 has 2 divisors, whose sum is σ = 416378691138. Its totient is φ = 416378691136.

The previous prime is 416378691133. The next prime is 416378691139. The reversal of 416378691137 is 731196873614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 326593962256 + 89784728881 = 571484^2 + 299641^2 .

It is a cyclic number.

It is not a de Polignac number, because 416378691137 - 2² = 416378691133 is a prime.

It is a super-2 number, since 2×416378691137² (a number of 24 digits) contains 22 as substring.

Together with 416378691139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (416378691133) 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, 208189345568 + 208189345569.

It is an arithmetic number, because the mean of its divisors is an integer number (208189345569).

Almost surely, 2^416378691137 is an apocalyptic number.

It is an amenable number.

416378691137 is a deficient number, since it is larger than the sum of its proper divisors (1).

416378691137 is an equidigital number, since it uses as much as digits as its factorization.

416378691137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4572288, while the sum is 56.

The spelling of 416378691137 in words is "four hundred sixteen billion, three hundred seventy-eight million, six hundred ninety-one thousand, one hundred thirty-seven".