444651600112769 has 16 divisors (see below), whose sum is σ = 518583665491200. Its totient is φ = 381100891772160.

The previous prime is 444651600112729. The next prime is 444651600112781. The reversal of 444651600112769 is 967211006156444.

It is not a de Polignac number, because 444651600112769 - 2³² = 444647305145473 is a prime.

It is a super-2 number, since 2×444651600112769² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444651600112729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44899709 + ... + 53900714.

It is an arithmetic number, because the mean of its divisors is an integer number (32411479093200).

Almost surely, 2^{444651600112769} is an apocalyptic number.

444651600112769 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

444651600112769 is a deficient number, since it is larger than the sum of its proper divisors (73932065378431).

444651600112769 is an equidigital number, since it uses as much as digits as its factorization.

444651600112769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98813565 (or 98813551 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 56.

The spelling of 444651600112769 in words is "four hundred forty-four trillion, six hundred fifty-one billion, six hundred million, one hundred twelve thousand, seven hundred sixty-nine".