445065838843680 has 288 divisors, whose sum is σ = 1524670608006000. Its totient is φ = 118224981688320.

The previous prime is 445065838843609. The next prime is 445065838843687. The reversal of 445065838843680 is 86348838560544.

445065838843680 is a `hidden beast` number, since 4 + 4 + 5 + 0 + 6 + 583 + 8 + 8 + 4 + 36 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 76141470424464 + 368924368419216 = 8725908^2 + 19207404^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 445065838843599 and 445065838843608.

It is not an unprimeable number, because it can be changed into a prime (445065838843687) 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, 667182946 + ... + 667849694.

Almost surely, 2^{445065838843680} is an apocalyptic number.

445065838843680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445065838843680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762335304003000).

445065838843680 is an abundant number, since it is smaller than the sum of its proper divisors (1079604769162320).

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

445065838843680 is a wasteful number, since it uses less digits than its factorization.

445065838843680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668564 (or 668553 counting only the distinct ones).

The product of its (nonzero) digits is 2123366400, while the sum is 72.

The spelling of 445065838843680 in words is "four hundred forty-five trillion, sixty-five billion, eight hundred thirty-eight million, eight hundred forty-three thousand, six hundred eighty".