445756450583268 has 432 divisors, whose sum is σ = 1343060510029056. Its totient is φ = 123529798517760.

The previous prime is 445756450583243. The next prime is 445756450583377. The reversal of 445756450583268 is 862385054657544.

445756450583268 is a `hidden beast` number, since 4 + 4 + 5 + 7 + 56 + 4 + 505 + 8 + 3 + 2 + 68 = 666.

It is a super-3 number, since 3×445756450583268³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 445756450583196 and 445756450583205.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 490027630 + ... + 490936442.

It is an arithmetic number, because the mean of its divisors is an integer number (3108936365808).

Almost surely, 2^{445756450583268} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445756450583268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671530255014528).

445756450583268 is an abundant number, since it is smaller than the sum of its proper divisors (897304059445788).

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

445756450583268 is a wasteful number, since it uses less digits than its factorization.

445756450583268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908992 (or 908968 counting only the distinct ones).

The product of its (nonzero) digits is 3870720000, while the sum is 72.

The spelling of 445756450583268 in words is "four hundred forty-five trillion, seven hundred fifty-six billion, four hundred fifty million, five hundred eighty-three thousand, two hundred sixty-eight".