68139829148904 has 192 divisors, whose sum is σ = 188676748915200. Its totient is φ = 22209158160000.

The previous prime is 68139829148903. The next prime is 68139829148927. The reversal of 68139829148904 is 40984192893186.

68139829148904 is a `hidden beast` number, since 6 + 8 + 1 + 398 + 2 + 9 + 148 + 90 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (68139829148903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 792179259 + ... + 792265269.

It is an arithmetic number, because the mean of its divisors is an integer number (982691400600).

Almost surely, 2^{68139829148904} 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 68139829148904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94338374457600).

68139829148904 is an abundant number, since it is smaller than the sum of its proper divisors (120536919766296).

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

68139829148904 is a wasteful number, since it uses less digits than its factorization.

68139829148904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87076 (or 87069 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 68139829148904 in words is "sixty-eight trillion, one hundred thirty-nine billion, eight hundred twenty-nine million, one hundred forty-eight thousand, nine hundred four".