444414314527101 has 6 divisors (see below), whose sum is σ = 641931787650270. Its totient is φ = 296276209684728.

The previous prime is 444414314527031. The next prime is 444414314527147. The reversal of 444414314527101 is 101725413414444.

444414314527101 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 1 + 4 + 3 + 14 + 527 + 101 = 666.

It can be written as a sum of positive squares in only one way, i.e., 409181127107076 + 35233187420025 = 20228226^2 + 5935755^2 .

It is not a de Polignac number, because 444414314527101 - 2¹⁸ = 444414314264957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444414314517101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24689684140386 + ... + 24689684140403.

It is an arithmetic number, because the mean of its divisors is an integer number (106988631275045).

Almost surely, 2^{444414314527101} is an apocalyptic number.

It is an amenable number.

444414314527101 is a deficient number, since it is larger than the sum of its proper divisors (197517473123169).

444414314527101 is a wasteful number, since it uses less digits than its factorization.

444414314527101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49379368280795 (or 49379368280792 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 444414314527101 in words is "four hundred forty-four trillion, four hundred fourteen billion, three hundred fourteen million, five hundred twenty-seven thousand, one hundred one".