444051323150445 has 12 divisors (see below), whose sum is σ = 769688960127516. Its totient is φ = 236827372346880.

The previous prime is 444051323150381. The next prime is 444051323150473. The reversal of 444051323150445 is 544051323150444.

444051323150445 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 5 + 132 + 3 + 1 + 504 + 4 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56890724248836 + 387160598901609 = 7542594^2 + 19676397^2 .

It is not a de Polignac number, because 444051323150445 - 2⁶ = 444051323150381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 9867807181121 = 444051323150445 / (4 + 4 + 4 + 0 + 5 + 1 + 3 + 2 + 3 + 1 + 5 + 0 + 4 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 444051323150445.

It is a congruent number.

It is an unprimeable number.

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, 4933903590516 + ... + 4933903590605.

It is an arithmetic number, because the mean of its divisors is an integer number (64140746677293).

Almost surely, 2^{444051323150445} is an apocalyptic number.

444051323150445 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

444051323150445 is a deficient number, since it is larger than the sum of its proper divisors (325637636977071).

444051323150445 is a wasteful number, since it uses less digits than its factorization.

444051323150445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9867807181132 (or 9867807181129 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

Subtracting 444051323150445 from its reverse (544051323150444), we obtain a palindrome (99999999999999).

The spelling of 444051323150445 in words is "four hundred forty-four trillion, fifty-one billion, three hundred twenty-three million, one hundred fifty thousand, four hundred forty-five".