67121184934248 has 128 divisors (see below), whose sum is σ = 177905773440000. Its totient is φ = 21065823221760.

The previous prime is 67121184934231. The next prime is 67121184934291. The reversal of 67121184934248 is 84243948112176.

It is a happy number.

67121184934248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 67121184934191 and 67121184934200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 788607118 + ... + 788692226.

It is an arithmetic number, because the mean of its divisors is an integer number (1389888855000).

Almost surely, 2^{67121184934248} 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 67121184934248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88952886720000).

67121184934248 is an abundant number, since it is smaller than the sum of its proper divisors (110784588505752).

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

67121184934248 is a wasteful number, since it uses less digits than its factorization.

67121184934248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113835 (or 113831 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 60.

The spelling of 67121184934248 in words is "sixty-seven trillion, one hundred twenty-one billion, one hundred eighty-four million, nine hundred thirty-four thousand, two hundred forty-eight".