68548980584448 has 1248 divisors, whose sum is σ = 264808943759360. Its totient is φ = 16574361108480.

The previous prime is 68548980584437. The next prime is 68548980584449. The reversal of 68548980584448 is 84448508984586.

68548980584448 is a `hidden beast` number, since 6 + 8 + 5 + 4 + 8 + 98 + 0 + 5 + 84 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is not an unprimeable number, because it can be changed into a prime (68548980584449) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1975856190 + ... + 1975890882.

Almost surely, 2^{68548980584448} 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 68548980584448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132404471879680).

68548980584448 is an abundant number, since it is smaller than the sum of its proper divisors (196259963174912).

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

68548980584448 is a wasteful number, since it uses less digits than its factorization.

68548980584448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34793 (or 34768 counting only the distinct ones).

The product of its (nonzero) digits is 11324620800, while the sum is 81.

The spelling of 68548980584448 in words is "sixty-eight trillion, five hundred forty-eight billion, nine hundred eighty million, five hundred eighty-four thousand, four hundred forty-eight".