445408785756 has 72 divisors (see below), whose sum is σ = 1228362879744. Its totient is φ = 134959787040.

The previous prime is 445408785739. The next prime is 445408785847. The reversal of 445408785756 is 657587804544.

445408785756 is a `hidden beast` number, since 4 + 4 + 54 + 0 + 8 + 7 + 8 + 575 + 6 = 666.

It is a super-3 number, since 3×445408785756³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 445408785693 and 445408785702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4762315 + ... + 4854941.

It is an arithmetic number, because the mean of its divisors is an integer number (17060595552).

Almost surely, 2^445408785756 is an apocalyptic number.

It is an amenable number.

445408785756 is an abundant number, since it is smaller than the sum of its proper divisors (782954093988).

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

445408785756 is a wasteful number, since it uses less digits than its factorization.

445408785756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104791 (or 104786 counting only the distinct ones).

The product of its (nonzero) digits is 150528000, while the sum is 63.

The spelling of 445408785756 in words is "four hundred forty-five billion, four hundred eight million, seven hundred eighty-five thousand, seven hundred fifty-six".