447968229056208 has 480 divisors, whose sum is σ = 1555722218119680. Its totient is φ = 117430925230080.

The previous prime is 447968229056197. The next prime is 447968229056219. The reversal of 447968229056208 is 802650922869744.

447968229056208 is a `hidden beast` number, since 4 + 4 + 7 + 9 + 6 + 82 + 290 + 56 + 208 = 666.

It is an interprime number because it is at equal distance from previous prime (447968229056197) and next prime (447968229056219).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 106213866 + ... + 110350902.

It is an arithmetic number, because the mean of its divisors is an integer number (3241087954416).

Almost surely, 2^{447968229056208} is an apocalyptic number.

447968229056208 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 447968229056208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777861109059840).

447968229056208 is an abundant number, since it is smaller than the sum of its proper divisors (1107753989063472).

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

447968229056208 is a wasteful number, since it uses less digits than its factorization.

447968229056208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4137235 (or 4137226 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 447968229056208 in words is "four hundred forty-seven trillion, nine hundred sixty-eight billion, two hundred twenty-nine million, fifty-six thousand, two hundred eight".