678082248144 has 480 divisors, whose sum is σ = 2341713454080. Its totient is φ = 178836553728.

The previous prime is 678082248133. The next prime is 678082248191. The reversal of 678082248144 is 441842280876.

678082248144 is a `hidden beast` number, since 6 + 7 + 80 + 82 + 2 + 481 + 4 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 475179559 + ... + 475180985.

It is an arithmetic number, because the mean of its divisors is an integer number (4878569696).

Almost surely, 2^678082248144 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 678082248144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170856727040).

678082248144 is an abundant number, since it is smaller than the sum of its proper divisors (1663631205936).

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

678082248144 is a wasteful number, since it uses less digits than its factorization.

678082248144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 678082248144 in words is "six hundred seventy-eight billion, eighty-two million, two hundred forty-eight thousand, one hundred forty-four".