94639840346601 has 81 divisors (see below), whose sum is σ = 159627124471269. Its totient is φ = 53980396588800.

The previous prime is 94639840346549. The next prime is 94639840346621. The reversal of 94639840346601 is 10664304893649.

The square root of 94639840346601 is 9728301.

It is a perfect power (a square), and thus also a powerful number.

94639840346601 is a `hidden beast` number, since 9 + 46 + 3 + 98 + 40 + 3 + 466 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44967284235225 + 49672556111376 = 6705765^2 + 7047876^2 .

It is not a de Polignac number, because 94639840346601 - 2³³ = 94631250412009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (94639840346621) 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 in 80 ways as a sum of consecutive naturals, for example, 5457568191 + ... + 5457585531.

Almost surely, 2^{94639840346601} is an apocalyptic number.

94639840346601 is the 9728301-st square number.

94639840346601 is the 4864151-st centered octagonal number.

It is an amenable number.

94639840346601 is a deficient number, since it is larger than the sum of its proper divisors (64987284124668).

94639840346601 is an equidigital number, since it uses as much as digits as its factorization.

94639840346601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34744 (or 17372 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 94639840346601 in words is "ninety-four trillion, six hundred thirty-nine billion, eight hundred forty million, three hundred forty-six thousand, six hundred one".