448651768616172 has 576 divisors, whose sum is σ = 1275490039824000. Its totient is φ = 132937314048000.

The previous prime is 448651768616141. The next prime is 448651768616213. The reversal of 448651768616172 is 271616867156844.

448651768616172 is a `hidden beast` number, since 4 + 4 + 8 + 6 + 517 + 6 + 86 + 16 + 17 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 448651768616172.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 184100026938 + ... + 184100029374.

It is an arithmetic number, because the mean of its divisors is an integer number (2214392430250).

Almost surely, 2^{448651768616172} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448651768616172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637745019912000).

448651768616172 is an abundant number, since it is smaller than the sum of its proper divisors (826838271207828).

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

448651768616172 is a wasteful number, since it uses less digits than its factorization.

448651768616172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3039 (or 3012 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 72.

The spelling of 448651768616172 in words is "four hundred forty-eight trillion, six hundred fifty-one billion, seven hundred sixty-eight million, six hundred sixteen thousand, one hundred seventy-two".