10332002144 has 96 divisors (see below), whose sum is σ = 22338892800. Its totient is φ = 4682137600.

The previous prime is 10332002143. The next prime is 10332002159. The reversal of 10332002144 is 44120023301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10332002143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8975969 + ... + 8977119.

It is an arithmetic number, because the mean of its divisors is an integer number (232696800).

Almost surely, 2^10332002144 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 10332002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11169446400).

10332002144 is an abundant number, since it is smaller than the sum of its proper divisors (12006890656).

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

10332002144 is a wasteful number, since it uses less digits than its factorization.

10332002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10332002144 its reverse (44120023301), we get a palindrome (54452025445).

The spelling of 10332002144 in words is "ten billion, three hundred thirty-two million, two thousand, one hundred forty-four".