10344456234112 has 512 divisors, whose sum is σ = 29400399705600. Its totient is φ = 3501230653440.

The previous prime is 10344456234037. The next prime is 10344456234113. The reversal of 10344456234112 is 21143265444301.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10344456234113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 629484648 + ... + 629501080.

It is an arithmetic number, because the mean of its divisors is an integer number (57422655675).

Almost surely, 2^{10344456234112} 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 10344456234112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14700199852800).

10344456234112 is an abundant number, since it is smaller than the sum of its proper divisors (19055943471488).

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

10344456234112 is a wasteful number, since it uses less digits than its factorization.

10344456234112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16529 (or 16483 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 10344456234112 in words is "ten trillion, three hundred forty-four billion, four hundred fifty-six million, two hundred thirty-four thousand, one hundred twelve".