444661040721645 has 48 divisors (see below), whose sum is σ = 871954848902592. Its totient is φ = 215593231858560.

The previous prime is 444661040721643. The next prime is 444661040721671. The reversal of 444661040721645 is 546127040166444.

444661040721645 is a `hidden beast` number, since 4 + 4 + 4 + 6 + 6 + 10 + 407 + 216 + 4 + 5 = 666.

It is not a de Polignac number, because 444661040721645 - 2¹ = 444661040721643 is a prime.

It is a super-3 number, since 3×444661040721645³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 444661040721591 and 444661040721600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444661040721643) 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, 16635266872 + ... + 16635293601.

It is an arithmetic number, because the mean of its divisors is an integer number (18165726018804).

Almost surely, 2^{444661040721645} is an apocalyptic number.

444661040721645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

444661040721645 is a deficient number, since it is larger than the sum of its proper divisors (427293808180947).

444661040721645 is a wasteful number, since it uses less digits than its factorization.

444661040721645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33270560504 (or 33270560492 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 444661040721645 in words is "four hundred forty-four trillion, six hundred sixty-one billion, forty million, seven hundred twenty-one thousand, six hundred forty-five".