448614367584768 has 600 divisors, whose sum is σ = 1699208065290384. Its totient is φ = 116523206553600.

The previous prime is 448614367584749. The next prime is 448614367584811. The reversal of 448614367584768 is 867485763416844.

448614367584768 is a `hidden beast` number, since 4 + 4 + 8 + 61 + 4 + 36 + 7 + 58 + 476 + 8 = 666.

It is a super-2 number, since 2×448614367584768² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12318823 + ... + 32387993.

Almost surely, 2^{448614367584768} is an apocalyptic number.

448614367584768 is a gapful number since it is divisible by the number (48) 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 448614367584768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849604032645192).

448614367584768 is an abundant number, since it is smaller than the sum of its proper divisors (1250593697705616).

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

448614367584768 is a wasteful number, since it uses less digits than its factorization.

448614367584768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20069226 (or 20069194 counting only the distinct ones).

The product of its digits is 20808990720, while the sum is 81.

The spelling of 448614367584768 in words is "four hundred forty-eight trillion, six hundred fourteen billion, three hundred sixty-seven million, five hundred eighty-four thousand, seven hundred sixty-eight".