859749832601216 has 64 divisors (see below), whose sum is σ = 1714411305664200. Its totient is φ = 429466361856000.

The previous prime is 859749832601213. The next prime is 859749832601239. The reversal of 859749832601216 is 612106238947958.

It can be written as a sum of positive squares in 4 ways, for example, as 66139182760000 + 793610649841216 = 8132600^2 + 28171096^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 859749832601216.

It is not an unprimeable number, because it can be changed into a prime (859749832601213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 731243516 + ... + 732418308.

It is a 1-persistent number, because it is pandigital, but 2⋅859749832601216 = 1719499665202432 is not.

Almost surely, 2^{859749832601216} is an apocalyptic number.

It is an amenable number.

859749832601216 is a deficient number, since it is larger than the sum of its proper divisors (854661473062984).

859749832601216 is a wasteful number, since it uses less digits than its factorization.

859749832601216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180237 (or 1180225 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 71.

The spelling of 859749832601216 in words is "eight hundred fifty-nine trillion, seven hundred forty-nine billion, eight hundred thirty-two million, six hundred one thousand, two hundred sixteen".