446827049010 has 96 divisors (see below), whose sum is σ = 1196300514240. Its totient is φ = 115627284864.

The previous prime is 446827048999. The next prime is 446827049021. The reversal of 446827049010 is 10940728644.

446827049010 is a `hidden beast` number, since 4 + 4 + 6 + 82 + 70 + 490 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (446827048999) and next prime (446827049021).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085049 + ... + 1439091.

It is an arithmetic number, because the mean of its divisors is an integer number (12461463690).

Almost surely, 2^446827049010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 446827049010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598150257120).

446827049010 is an abundant number, since it is smaller than the sum of its proper divisors (749473465230).

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

446827049010 is a wasteful number, since it uses less digits than its factorization.

446827049010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354472 (or 354469 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 446827049010 in words is "four hundred forty-six billion, eight hundred twenty-seven million, forty-nine thousand, ten".