448162766172680 has 128 divisors (see below), whose sum is σ = 1102506136502400. Its totient is φ = 162951668047872.

The previous prime is 448162766172559. The next prime is 448162766172811. The reversal of 448162766172680 is 86271667261844.

It is a self number, because there is not a number n which added to its sum of digits gives 448162766172680.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103051544 + ... + 107312376.

It is an arithmetic number, because the mean of its divisors is an integer number (8613329191425).

Almost surely, 2^{448162766172680} is an apocalyptic number.

448162766172680 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 448162766172680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551253068251200).

448162766172680 is an abundant number, since it is smaller than the sum of its proper divisors (654343370329720).

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

448162766172680 is a wasteful number, since it uses less digits than its factorization.

448162766172680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4263943 (or 4263939 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 68.

The spelling of 448162766172680 in words is "four hundred forty-eight trillion, one hundred sixty-two billion, seven hundred sixty-six million, one hundred seventy-two thousand, six hundred eighty".