444350135134224 has 120 divisors (see below), whose sum is σ = 1356732480578592. Its totient is φ = 134639838696960.

The previous prime is 444350135134223. The next prime is 444350135134237. The reversal of 444350135134224 is 422431531053444.

It is a happy number.

444350135134224 is a `hidden beast` number, since 4 + 4 + 4 + 3 + 501 + 3 + 5 + 134 + 2 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 444350135134224.

It is not an unprimeable number, because it can be changed into a prime (444350135134223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6011367 + ... + 30411129.

Almost surely, 2^{444350135134224} is an apocalyptic number.

444350135134224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444350135134224 is an abundant number, since it is smaller than the sum of its proper divisors (912382345444368).

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

444350135134224 is a wasteful number, since it uses less digits than its factorization.

444350135134224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24411285 (or 24411276 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

Adding to 444350135134224 its reverse (422431531053444), we get a palindrome (866781666187668).

The spelling of 444350135134224 in words is "four hundred forty-four trillion, three hundred fifty billion, one hundred thirty-five million, one hundred thirty-four thousand, two hundred twenty-four".