67141967957 has 2 divisors, whose sum is σ = 67141967958. Its totient is φ = 67141967956.

The previous prime is 67141967927. The next prime is 67141967983. The reversal of 67141967957 is 75976914176.

67141967957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38852746321 + 28289221636 = 197111^2 + 168194^2 .

It is a cyclic number.

It is not a de Polignac number, because 67141967957 - 2¹⁰ = 67141966933 is a prime.

It is a super-2 number, since 2×67141967957² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 67141967957.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (67141967927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33570983978 + 33570983979.

It is an arithmetic number, because the mean of its divisors is an integer number (33570983979).

Almost surely, 2^67141967957 is an apocalyptic number.

It is an amenable number.

67141967957 is a deficient number, since it is larger than the sum of its proper divisors (1).

67141967957 is an equidigital number, since it uses as much as digits as its factorization.

67141967957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20003760, while the sum is 62.

The spelling of 67141967957 in words is "sixty-seven billion, one hundred forty-one million, nine hundred sixty-seven thousand, nine hundred fifty-seven".