68816155734144 has 4608 divisors, whose sum is σ = 296400549888000. Its totient is φ = 15278682931200.

The previous prime is 68816155734143. The next prime is 68816155734247. The reversal of 68816155734144 is 44143755161886.

68816155734144 is a `hidden beast` number, since 6 + 8 + 8 + 1 + 6 + 1 + 557 + 34 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (68816155734143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1678442822764 + ... + 1678442822804.

It is an arithmetic number, because the mean of its divisors is an integer number (64323036000).

Almost surely, 2^{68816155734144} is an apocalyptic number.

68816155734144 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 68816155734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148200274944000).

68816155734144 is an abundant number, since it is smaller than the sum of its proper divisors (227584394153856).

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

68816155734144 is a wasteful number, since it uses less digits than its factorization.

68816155734144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 133 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

The spelling of 68816155734144 in words is "sixty-eight trillion, eight hundred sixteen billion, one hundred fifty-five million, seven hundred thirty-four thousand, one hundred forty-four".