2245680011957 has 2 divisors, whose sum is σ = 2245680011958. Its totient is φ = 2245680011956.

The previous prime is 2245680011891. The next prime is 2245680011959. The reversal of 2245680011957 is 7591100865422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2072949171076 + 172730840881 = 1439774^2 + 415609^2 .

It is a cyclic number.

It is not a de Polignac number, because 2245680011957 - 2²⁴ = 2245663234741 is a prime.

It is a super-2 number, since 2×2245680011957² (a number of 26 digits) contains 22 as substring.

Together with 2245680011959, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2245680011959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1122840005978 + 1122840005979.

It is an arithmetic number, because the mean of its divisors is an integer number (1122840005979).

Almost surely, 2^{2245680011957} is an apocalyptic number.

It is an amenable number.

2245680011957 is a deficient number, since it is larger than the sum of its proper divisors (1).

2245680011957 is an equidigital number, since it uses as much as digits as its factorization.

2245680011957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1209600, while the sum is 50.

The spelling of 2245680011957 in words is "two trillion, two hundred forty-five billion, six hundred eighty million, eleven thousand, nine hundred fifty-seven".