10829073345 has 32 divisors (see below), whose sum is σ = 17742248832. Its totient is φ = 5637123072.

The previous prime is 10829073337. The next prime is 10829073397. The reversal of 10829073345 is 54337092801.

It is not a de Polignac number, because 10829073345 - 2³ = 10829073337 is a prime.

It is a super-2 number, since 2×10829073345² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10829073297 and 10829073306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1024809 + ... + 1035321.

It is an arithmetic number, because the mean of its divisors is an integer number (554445276).

Almost surely, 2^10829073345 is an apocalyptic number.

10829073345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10829073345 is a deficient number, since it is larger than the sum of its proper divisors (6913175487).

10829073345 is a wasteful number, since it uses less digits than its factorization.

10829073345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12161.

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 10829073345 in words is "ten billion, eight hundred twenty-nine million, seventy-three thousand, three hundred forty-five".