10344134343232 has 112 divisors (see below), whose sum is σ = 21898437280000. Its totient is φ = 4833863184384.

The previous prime is 10344134343227. The next prime is 10344134343269. The reversal of 10344134343232 is 23234343144301.

10344134343232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10344134343232² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10344134343191 and 10344134343200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118787644 + ... + 118874692.

Almost surely, 2^{10344134343232} 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 10344134343232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10949218640000).

10344134343232 is an abundant number, since it is smaller than the sum of its proper divisors (11554302936768).

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

10344134343232 is a wasteful number, since it uses less digits than its factorization.

10344134343232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88396 (or 88386 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 37.

Adding to 10344134343232 its reverse (23234343144301), we get a palindrome (33578477487533).

The spelling of 10344134343232 in words is "ten trillion, three hundred forty-four billion, one hundred thirty-four million, three hundred forty-three thousand, two hundred thirty-two".