68738401434912 has 1152 divisors, whose sum is σ = 216704910643200. Its totient is φ = 19010615500800.

The previous prime is 68738401434853. The next prime is 68738401434917. The reversal of 68738401434912 is 21943410483786.

It is a super-2 number, since 2×68738401434912² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (68738401434917) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 163274112462 + ... + 163274112882.

It is an arithmetic number, because the mean of its divisors is an integer number (188111901600).

Almost surely, 2^{68738401434912} 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 68738401434912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108352455321600).

68738401434912 is an abundant number, since it is smaller than the sum of its proper divisors (147966509208288).

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

68738401434912 is a wasteful number, since it uses less digits than its factorization.

68738401434912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 68738401434912 in words is "sixty-eight trillion, seven hundred thirty-eight billion, four hundred one million, four hundred thirty-four thousand, nine hundred twelve".