448607198016 has 448 divisors, whose sum is σ = 1404530104320. Its totient is φ = 140175360000.

The previous prime is 448607197999. The next prime is 448607198027. The reversal of 448607198016 is 610891706844.

448607198016 is a `hidden beast` number, since 4 + 4 + 8 + 607 + 19 + 8 + 0 + 16 = 666.

It is a super-2 number, since 2×448607198016² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 344816566 + ... + 344817866.

It is an arithmetic number, because the mean of its divisors is an integer number (3135111840).

Almost surely, 2^448607198016 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 448607198016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702265052160).

448607198016 is an abundant number, since it is smaller than the sum of its proper divisors (955922906304).

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

448607198016 is a wasteful number, since it uses less digits than its factorization.

448607198016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 448607198016 in words is "four hundred forty-eight billion, six hundred seven million, one hundred ninety-eight thousand, sixteen".