447892214031360 has 1760 divisors, whose sum is σ = 1852637254364160. Its totient is φ = 101774732525568.

The previous prime is 447892214031337. The next prime is 447892214031397. The reversal of 447892214031360 is 63130412298744.

447892214031360 is a `hidden beast` number, since 4 + 4 + 7 + 8 + 9 + 221 + 40 + 313 + 60 = 666.

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 = 447892214031297 and 447892214031306.

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 159 ways as a sum of consecutive naturals, for example, 126273529107 + ... + 126273532653.

It is an arithmetic number, because the mean of its divisors is an integer number (1052634803616).

Almost surely, 2^{447892214031360} is an apocalyptic number.

447892214031360 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 447892214031360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926318627182080).

447892214031360 is an abundant number, since it is smaller than the sum of its proper divisors (1404745040332800).

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

447892214031360 is an frugal number, since it uses more digits than its factorization.

447892214031360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 447892214031360 in words is "four hundred forty-seven trillion, eight hundred ninety-two billion, two hundred fourteen million, thirty-one thousand, three hundred sixty".