93824992137049 has 2 divisors, whose sum is σ = 93824992137050. Its totient is φ = 93824992137048.

The previous prime is 93824992137007. The next prime is 93824992137059. The reversal of 93824992137049 is 94073129942839.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50627038711824 + 43197953425225 = 7115268^2 + 6572515^2 .

It is a cyclic number.

It is not a de Polignac number, because 93824992137049 - 2¹¹ = 93824992135001 is a prime.

It is not a weakly prime, because it can be changed into another prime (93824992137059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 46912496068524 + 46912496068525.

It is an arithmetic number, because the mean of its divisors is an integer number (46912496068525).

Almost surely, 2^{93824992137049} is an apocalyptic number.

It is an amenable number.

93824992137049 is a deficient number, since it is larger than the sum of its proper divisors (1).

93824992137049 is an equidigital number, since it uses as much as digits as its factorization.

93824992137049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 211631616, while the sum is 70.

The spelling of 93824992137049 in words is "ninety-three trillion, eight hundred twenty-four billion, nine hundred ninety-two million, one hundred thirty-seven thousand, forty-nine".