61686834832457 has 2 divisors, whose sum is σ = 61686834832458. Its totient is φ = 61686834832456.

The previous prime is 61686834832387. The next prime is 61686834832463. The reversal of 61686834832457 is 75423843868616.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58154976135481 + 3531858696976 = 7625941^2 + 1879324^2 .

It is a cyclic number.

It is not a de Polignac number, because 61686834832457 - 2²⁶ = 61686767723593 is a prime.

It is not a weakly prime, because it can be changed into another prime (61686834832957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30843417416228 + 30843417416229.

It is an arithmetic number, because the mean of its divisors is an integer number (30843417416229).

Almost surely, 2^{61686834832457} is an apocalyptic number.

It is an amenable number.

61686834832457 is a deficient number, since it is larger than the sum of its proper divisors (1).

61686834832457 is an equidigital number, since it uses as much as digits as its factorization.

61686834832457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1114767360, while the sum is 71.

The spelling of 61686834832457 in words is "sixty-one trillion, six hundred eighty-six billion, eight hundred thirty-four million, eight hundred thirty-two thousand, four hundred fifty-seven".