67148610048 has 240 divisors, whose sum is σ = 215905009320. Its totient is φ = 19948142592.

The previous prime is 67148610047. The next prime is 67148610083. The reversal of 67148610048 is 84001684176.

67148610048 is a `hidden beast` number, since 67 + 1 + 486 + 100 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31218649344 + 35929960704 = 176688^2 + 189552^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 67148609985 and 67148610012.

It is not an unprimeable number, because it can be changed into a prime (67148610047) 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 23 ways as a sum of consecutive naturals, for example, 1717890 + ... + 1756542.

Almost surely, 2^67148610048 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 67148610048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107952504660).

67148610048 is an abundant number, since it is smaller than the sum of its proper divisors (148756399272).

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

67148610048 is a wasteful number, since it uses less digits than its factorization.

67148610048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38719 (or 38700 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 67148610048 in words is "sixty-seven billion, one hundred forty-eight million, six hundred ten thousand, forty-eight".