48717517799808 has 768 divisors, whose sum is σ = 170551752000000. Its totient is φ = 13599211253760.

The previous prime is 48717517799807. The next prime is 48717517799849. The reversal of 48717517799808 is 80899771571784.

48717517799808 is a `hidden beast` number, since 4 + 8 + 7 + 1 + 7 + 517 + 7 + 9 + 98 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48717517799803) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2712698733 + ... + 2712716691.

It is an arithmetic number, because the mean of its divisors is an integer number (222072593750).

Almost surely, 2^{48717517799808} is an apocalyptic number.

48717517799808 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 48717517799808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85275876000000).

48717517799808 is an abundant number, since it is smaller than the sum of its proper divisors (121834234200192).

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

48717517799808 is a wasteful number, since it uses less digits than its factorization.

48717517799808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18516 (or 18487 counting only the distinct ones).

The product of its (nonzero) digits is 1991485440, while the sum is 81.

The spelling of 48717517799808 in words is "forty-eight trillion, seven hundred seventeen billion, five hundred seventeen million, seven hundred ninety-nine thousand, eight hundred eight".