10146412224 has 168 divisors, whose sum is σ = 32968885040. Its totient is φ = 2957617152.

The previous prime is 10146412223. The next prime is 10146412249. The reversal of 10146412224 is 42221464101.

10146412224 is a `hidden beast` number, since 1 + 0 + 14 + 641 + 2 + 2 + 2 + 4 = 666.

10146412224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10146412223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106614 + ... + 177930.

Almost surely, 2^10146412224 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 10146412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16484442520).

10146412224 is an abundant number, since it is smaller than the sum of its proper divisors (22822472816).

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

10146412224 is a wasteful number, since it uses less digits than its factorization.

10146412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71367 (or 71354 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10146412224 its reverse (42221464101), we get a palindrome (52367876325).

The spelling of 10146412224 in words is "ten billion, one hundred forty-six million, four hundred twelve thousand, two hundred twenty-four".