447451047648 has 576 divisors, whose sum is σ = 1521657446400. Its totient is φ = 128009756160.

The previous prime is 447451047613. The next prime is 447451047709. The reversal of 447451047648 is 846740154744.

447451047648 is a `hidden beast` number, since 4 + 47 + 4 + 510 + 47 + 6 + 48 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 447451047594 and 447451047603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155417473 + ... + 155420351.

It is an arithmetic number, because the mean of its divisors is an integer number (2641766400).

Almost surely, 2^447451047648 is an apocalyptic number.

447451047648 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 447451047648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760828723200).

447451047648 is an abundant number, since it is smaller than the sum of its proper divisors (1074206398752).

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

447451047648 is a wasteful number, since it uses less digits than its factorization.

447451047648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3017 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 447451047648 in words is "four hundred forty-seven billion, four hundred fifty-one million, forty-seven thousand, six hundred forty-eight".