2114414304337 has 2 divisors, whose sum is σ = 2114414304338. Its totient is φ = 2114414304336.

The previous prime is 2114414304311. The next prime is 2114414304347. The reversal of 2114414304337 is 7334034144112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1960380818496 + 154033485841 = 1400136^2 + 392471^2 .

It is a cyclic number.

It is not a de Polignac number, because 2114414304337 - 2¹⁵ = 2114414271569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2114414304296 and 2114414304305.

It is not a weakly prime, because it can be changed into another prime (2114414304347) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1057207152168 + 1057207152169.

It is an arithmetic number, because the mean of its divisors is an integer number (1057207152169).

Almost surely, 2^{2114414304337} is an apocalyptic number.

It is an amenable number.

2114414304337 is a deficient number, since it is larger than the sum of its proper divisors (1).

2114414304337 is an equidigital number, since it uses as much as digits as its factorization.

2114414304337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96768, while the sum is 37.

Adding to 2114414304337 its reverse (7334034144112), we get a palindrome (9448448448449).

The spelling of 2114414304337 in words is "two trillion, one hundred fourteen billion, four hundred fourteen million, three hundred four thousand, three hundred thirty-seven".