68328054144 has 768 divisors, whose sum is σ = 249500160000. Its totient is φ = 18180163584.

The previous prime is 68328054143. The next prime is 68328054161. The reversal of 68328054144 is 44145082386.

68328054144 is a `hidden beast` number, since 6 + 83 + 28 + 0 + 541 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 68328054144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68328054143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 343356957 + ... + 343357155.

It is an arithmetic number, because the mean of its divisors is an integer number (324870000).

Almost surely, 2^68328054144 is an apocalyptic number.

68328054144 is a gapful number since it is divisible by the number (64) 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 68328054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124750080000).

68328054144 is an abundant number, since it is smaller than the sum of its proper divisors (181172105856).

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

68328054144 is a wasteful number, since it uses less digits than its factorization.

68328054144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 68328054144 in words is "sixty-eight billion, three hundred twenty-eight million, fifty-four thousand, one hundred forty-four".