444414314527146 has 24 divisors (see below), whose sum is σ = 962900329401504. Its totient is φ = 148137697469160.

The previous prime is 444414314527031. The next prime is 444414314527147. The reversal of 444414314527146 is 641725413414444.

444414314527146 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 1 + 43 + 1 + 452 + 7 + 146 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 444414314527092 and 444414314527101.

It is not an unprimeable number, because it can be changed into a prime (444414314527147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27183966 + ... + 40345961.

It is an arithmetic number, because the mean of its divisors is an integer number (40120847058396).

Almost surely, 2^{444414314527146} is an apocalyptic number.

444414314527146 is an abundant number, since it is smaller than the sum of its proper divisors (518486014874358).

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

444414314527146 is a wasteful number, since it uses less digits than its factorization.

444414314527146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67895546 (or 67895543 counting only the distinct ones).

The product of its digits is 20643840, while the sum is 54.

The spelling of 444414314527146 in words is "four hundred forty-four trillion, four hundred fourteen billion, three hundred fourteen million, five hundred twenty-seven thousand, one hundred forty-six".