68308314462144 has 840 divisors, whose sum is σ = 231689630965760. Its totient is φ = 19829662949376.

The previous prime is 68308314462139. The next prime is 68308314462191. The reversal of 68308314462144 is 44126441380386.

68308314462144 is a `hidden beast` number, since 6 + 8 + 3 + 0 + 8 + 3 + 1 + 4 + 4 + 621 + 4 + 4 = 666.

It is a super-4 number, since 4×68308314462144⁴ (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 1223981889 + ... + 1224037695.

Almost surely, 2^{68308314462144} is an apocalyptic number.

68308314462144 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 68308314462144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115844815482880).

68308314462144 is an abundant number, since it is smaller than the sum of its proper divisors (163381316503616).

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

68308314462144 is a wasteful number, since it uses less digits than its factorization.

68308314462144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55927 (or 55891 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 68308314462144 in words is "sixty-eight trillion, three hundred eight billion, three hundred fourteen million, four hundred sixty-two thousand, one hundred forty-four".