10347602680829 has 16 divisors (see below), whose sum is σ = 11081330031600. Its totient is φ = 9627807535104.

The previous prime is 10347602680823. The next prime is 10347602680841. The reversal of 10347602680829 is 92808620674301.

It can be written as a sum of positive squares in 8 ways, for example, as 71904422500 + 10275698258329 = 268150^2 + 3205573^2 .

It is not a de Polignac number, because 10347602680829 - 2²⁰ = 10347601632253 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10347602680823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8084027 + ... + 9276135.

It is an arithmetic number, because the mean of its divisors is an integer number (692583126975).

Almost surely, 2^{10347602680829} is an apocalyptic number.

It is an amenable number.

10347602680829 is a deficient number, since it is larger than the sum of its proper divisors (733727350771).

10347602680829 is a wasteful number, since it uses less digits than its factorization.

10347602680829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197952.

The product of its (nonzero) digits is 6967296, while the sum is 56.

The spelling of 10347602680829 in words is "ten trillion, three hundred forty-seven billion, six hundred two million, six hundred eighty thousand, eight hundred twenty-nine".