446447498048448 has 896 divisors, whose sum is σ = 1409454657945600. Its totient is φ = 123509053145088.

The previous prime is 446447498048443. The next prime is 446447498048521. The reversal of 446447498048448 is 844840894744644.

It is a hoax number, since the sum of its digits (78) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (446447498048443) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11505469815 + ... + 11505508617.

It is an arithmetic number, because the mean of its divisors is an integer number (1573052073600).

Almost surely, 2^{446447498048448} is an apocalyptic number.

446447498048448 is a gapful number since it is divisible by the number (48) 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 446447498048448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704727328972800).

446447498048448 is an abundant number, since it is smaller than the sum of its proper divisors (963007159897152).

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

446447498048448 is a wasteful number, since it uses less digits than its factorization.

446447498048448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39049 (or 39039 counting only the distinct ones).

The product of its (nonzero) digits is 12683575296, while the sum is 78.

The spelling of 446447498048448 in words is "four hundred forty-six trillion, four hundred forty-seven billion, four hundred ninety-eight million, forty-eight thousand, four hundred forty-eight".