447601610448 has 120 divisors (see below), whose sum is σ = 1299300151968. Its totient is φ = 149172700032.

The previous prime is 447601610441. The next prime is 447601610507. The reversal of 447601610448 is 844016106744.

447601610448 is a `hidden beast` number, since 4 + 47 + 6 + 0 + 161 + 0 + 448 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447601610441) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 39912490 + ... + 39923702.

Almost surely, 2^447601610448 is an apocalyptic number.

447601610448 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 447601610448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649650075984).

447601610448 is an abundant number, since it is smaller than the sum of its proper divisors (851698541520).

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

447601610448 is a wasteful number, since it uses less digits than its factorization.

447601610448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21503 (or 21485 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 447601610448 in words is "four hundred forty-seven billion, six hundred one million, six hundred ten thousand, four hundred forty-eight".