2114116171757 has 2 divisors, whose sum is σ = 2114116171758. Its totient is φ = 2114116171756.

The previous prime is 2114116171751. The next prime is 2114116171777. The reversal of 2114116171757 is 7571716114112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1171457710921 + 942658460836 = 1082339^2 + 970906^2 .

It is a cyclic number.

It is not a de Polignac number, because 2114116171757 - 2⁶ = 2114116171693 is a prime.

It is a super-3 number, since 3×2114116171757³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2114116171751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1057058085878 + 1057058085879.

It is an arithmetic number, because the mean of its divisors is an integer number (1057058085879).

Almost surely, 2^{2114116171757} is an apocalyptic number.

It is an amenable number.

2114116171757 is a deficient number, since it is larger than the sum of its proper divisors (1).

2114116171757 is an equidigital number, since it uses as much as digits as its factorization.

2114116171757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 82320, while the sum is 44.

The spelling of 2114116171757 in words is "two trillion, one hundred fourteen billion, one hundred sixteen million, one hundred seventy-one thousand, seven hundred fifty-seven".