444527520145764 has 48 divisors (see below), whose sum is σ = 1133556059393856. Its totient is φ = 134463468342400.

The previous prime is 444527520145763. The next prime is 444527520145817. The reversal of 444527520145764 is 467541025725444.

It is a junction number, because it is equal to n+sod(n) for n = 444527520145698 and 444527520145707.

It is not an unprimeable number, because it can be changed into a prime (444527520145763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3022936107 + ... + 3023083154.

It is an arithmetic number, because the mean of its divisors is an integer number (23615751237372).

Almost surely, 2^{444527520145764} is an apocalyptic number.

444527520145764 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444527520145764 is an abundant number, since it is smaller than the sum of its proper divisors (689028539248092).

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

444527520145764 is a wasteful number, since it uses less digits than its factorization.

444527520145764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6046019836 (or 6046019834 counting only the distinct ones).

The product of its (nonzero) digits is 150528000, while the sum is 60.

The spelling of 444527520145764 in words is "four hundred forty-four trillion, five hundred twenty-seven billion, five hundred twenty million, one hundred forty-five thousand, seven hundred sixty-four".