10346439106912 has 96 divisors (see below), whose sum is σ = 20972124875520. Its totient is φ = 5020897052160.

The previous prime is 10346439106889. The next prime is 10346439106919. The reversal of 10346439106912 is 21960193464301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10346439106919) 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 15 ways as a sum of consecutive naturals, for example, 835799539 + ... + 835811917.

It is an arithmetic number, because the mean of its divisors is an integer number (218459634120).

Almost surely, 2^{10346439106912} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10346439106912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10486062437760).

10346439106912 is an abundant number, since it is smaller than the sum of its proper divisors (10625685768608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10346439106912 is a wasteful number, since it uses less digits than its factorization.

10346439106912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14124 (or 14116 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 49.

The spelling of 10346439106912 in words is "ten trillion, three hundred forty-six billion, four hundred thirty-nine million, one hundred six thousand, nine hundred twelve".