968160673548 has 120 divisors (see below), whose sum is σ = 2624080536000. Its totient is φ = 310896617472.

The previous prime is 968160673547. The next prime is 968160673559. The reversal of 968160673548 is 845376061869.

968160673548 is a `hidden beast` number, since 9 + 6 + 8 + 16 + 0 + 6 + 73 + 548 = 666.

It is not an unprimeable number, because it can be changed into a prime (968160673547) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4104061 + ... + 4333547.

It is an arithmetic number, because the mean of its divisors is an integer number (21867337800).

Almost surely, 2^968160673548 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 968160673548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312040268000).

968160673548 is an abundant number, since it is smaller than the sum of its proper divisors (1655919862452).

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

968160673548 is a wasteful number, since it uses less digits than its factorization.

968160673548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229981 (or 229970 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 968160673548 in words is "nine hundred sixty-eight billion, one hundred sixty million, six hundred seventy-three thousand, five hundred forty-eight".