10224242244144 has 80 divisors (see below), whose sum is σ = 29382849555840. Its totient is φ = 3403959612480.

The previous prime is 10224242244133. The next prime is 10224242244199. The reversal of 10224242244144 is 44144224242201.

10224242244144 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 424 + 224 + 4 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10224242244099 and 10224242244108.

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, 13951822 + ... + 14666349.

It is an arithmetic number, because the mean of its divisors is an integer number (367285619448).

Almost surely, 2^{10224242244144} is an apocalyptic number.

It is an amenable number.

10224242244144 is an abundant number, since it is smaller than the sum of its proper divisors (19158607311696).

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

10224242244144 is a wasteful number, since it uses less digits than its factorization.

10224242244144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28619015 (or 28619003 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 10224242244144 its reverse (44144224242201), we get a palindrome (54368466486345).

The spelling of 10224242244144 in words is "ten trillion, two hundred twenty-four billion, two hundred forty-two million, two hundred forty-four thousand, one hundred forty-four".