10334688679345 has 8 divisors (see below), whose sum is σ = 12704105108520. Its totient is φ = 8066098481280.

The previous prime is 10334688679331. The next prime is 10334688679409. The reversal of 10334688679345 is 54397688643301.

It can be written as a sum of positive squares in 4 ways, for example, as 1264707166464 + 9069981512881 = 1124592^2 + 3011641^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-10334688679345 is a prime.

It is a super-3 number, since 3×10334688679345³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

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, 25206557550 + ... + 25206557959.

It is an arithmetic number, because the mean of its divisors is an integer number (1588013138565).

Almost surely, 2^{10334688679345} is an apocalyptic number.

It is an amenable number.

10334688679345 is a deficient number, since it is larger than the sum of its proper divisors (2369416429175).

10334688679345 is an equidigital number, since it uses as much as digits as its factorization.

10334688679345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50413115555.

The product of its (nonzero) digits is 313528320, while the sum is 67.

The spelling of 10334688679345 in words is "ten trillion, three hundred thirty-four billion, six hundred eighty-eight million, six hundred seventy-nine thousand, three hundred forty-five".