10114530304224 has 384 divisors, whose sum is σ = 27948179202048. Its totient is φ = 3199217172480.

The previous prime is 10114530304211. The next prime is 10114530304271. The reversal of 10114530304224 is 42240303541101.

It is a junction number, because it is equal to n+sod(n) for n = 10114530304191 and 10114530304200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13613095597 + ... + 13613096339.

It is an arithmetic number, because the mean of its divisors is an integer number (72781716672).

Almost surely, 2^{10114530304224} 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 10114530304224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13974089601024).

10114530304224 is an abundant number, since it is smaller than the sum of its proper divisors (17833648897824).

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

10114530304224 is a wasteful number, since it uses less digits than its factorization.

10114530304224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 10114530304224 its reverse (42240303541101), we get a palindrome (52354833845325).

The spelling of 10114530304224 in words is "ten trillion, one hundred fourteen billion, five hundred thirty million, three hundred four thousand, two hundred twenty-four".