444375441513045 has 48 divisors (see below), whose sum is σ = 892684991607552. Its totient is φ = 200281889122560.

The previous prime is 444375441513007. The next prime is 444375441513049. The reversal of 444375441513045 is 540315144573444.

444375441513045 is a `hidden beast` number, since 4 + 4 + 4 + 3 + 7 + 54 + 415 + 130 + 45 = 666.

It is not a de Polignac number, because 444375441513045 - 2⁸ = 444375441512789 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 444375441512982 and 444375441513000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444375441513049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9934595152 + ... + 9934639881.

It is an arithmetic number, because the mean of its divisors is an integer number (18597603991824).

Almost surely, 2^{444375441513045} is an apocalyptic number.

444375441513045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

444375441513045 is an abundant number, since it is smaller than the sum of its proper divisors (448309550094507).

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

444375441513045 is a wasteful number, since it uses less digits than its factorization.

444375441513045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19869235122 (or 19869235119 counting only the distinct ones).

The product of its (nonzero) digits is 32256000, while the sum is 54.

The spelling of 444375441513045 in words is "four hundred forty-four trillion, three hundred seventy-five billion, four hundred forty-one million, five hundred thirteen thousand, forty-five".