445828022329600 has 81 divisors (see below), whose sum is σ = 1103498196872743. Its totient is φ = 178330533263360.

The previous prime is 445828022329567. The next prime is 445828022329631. The reversal of 445828022329600 is 6923220828544.

The square root of 445828022329600 is 21114640.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 129946502750464 + 315881519579136 = 11399408^2 + 17773056^2 .

It is a super-2 number, since 2×445828022329600² (a number of 30 digits) contains 22 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 1689039234 + ... + 1689303166.

Almost surely, 2^{445828022329600} is an apocalyptic number.

445828022329600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

445828022329600 is the 21114640-th square number.

It is an amenable number.

445828022329600 is an abundant number, since it is smaller than the sum of its proper divisors (657670174543143).

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

445828022329600 is an frugal number, since it uses more digits than its factorization.

445828022329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527892 (or 263940 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 55.

The spelling of 445828022329600 in words is "four hundred forty-five trillion, eight hundred twenty-eight billion, twenty-two million, three hundred twenty-nine thousand, six hundred".