447881342354160 has 320 divisors, whose sum is σ = 1632401889592320. Its totient is φ = 100149199626240.

The previous prime is 447881342354141. The next prime is 447881342354179. The reversal of 447881342354160 is 61453243188744.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (447881342354141) and next prime (447881342354179).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 447881342354094 and 447881342354103.

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 40321092 + ... + 50215068.

It is an arithmetic number, because the mean of its divisors is an integer number (5101255904976).

Almost surely, 2^{447881342354160} is an apocalyptic number.

447881342354160 is a gapful number since it is divisible by the number (40) 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 447881342354160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816200944796160).

447881342354160 is an abundant number, since it is smaller than the sum of its proper divisors (1184520547238160).

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

447881342354160 is a wasteful number, since it uses less digits than its factorization.

447881342354160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9895336 (or 9895330 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 60.

The spelling of 447881342354160 in words is "four hundred forty-seven trillion, eight hundred eighty-one billion, three hundred forty-two million, three hundred fifty-four thousand, one hundred sixty".