447557164000 has 192 divisors, whose sum is σ = 1169888795712. Its totient is φ = 167688192000.

The previous prime is 447557163887. The next prime is 447557164027. The reversal of 447557164000 is 461755744.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14332404 + ... + 14363596.

It is an arithmetic number, because the mean of its divisors is an integer number (6093170811).

Almost surely, 2^447557164000 is an apocalyptic number.

447557164000 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 447557164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584944397856).

447557164000 is an abundant number, since it is smaller than the sum of its proper divisors (722331631712).

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

447557164000 is a wasteful number, since it uses less digits than its factorization.

447557164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31446 (or 31428 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 43.

The spelling of 447557164000 in words is "four hundred forty-seven billion, five hundred fifty-seven million, one hundred sixty-four thousand".