48969173772288 has 3456 divisors, whose sum is σ = 201347887104000. Its totient is φ = 11281445683200.

The previous prime is 48969173772217. The next prime is 48969173772289. The reversal of 48969173772288 is 88227737196984.

48969173772288 is a `hidden beast` number, since 4 + 8 + 9 + 6 + 9 + 17 + 377 + 228 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48969173772289) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 246076250013 + ... + 246076250211.

It is an arithmetic number, because the mean of its divisors is an integer number (58260384000).

Almost surely, 2^{48969173772288} is an apocalyptic number.

48969173772288 is a gapful number since it is divisible by the number (48) 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 48969173772288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100673943552000).

48969173772288 is an abundant number, since it is smaller than the sum of its proper divisors (152378713331712).

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

48969173772288 is a wasteful number, since it uses less digits than its factorization.

48969173772288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 317 counting only the distinct ones).

The product of its digits is 4096770048, while the sum is 81.

The spelling of 48969173772288 in words is "forty-eight trillion, nine hundred sixty-nine billion, one hundred seventy-three million, seven hundred seventy-two thousand, two hundred eighty-eight".