48635647440768 has 256 divisors, whose sum is σ = 148188383539200. Its totient is φ = 15687302400000.

The previous prime is 48635647440739. The next prime is 48635647440773. The reversal of 48635647440768 is 86704474653684.

48635647440768 is a `hidden beast` number, since 4 + 8 + 6 + 3 + 56 + 474 + 40 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 48635647440696 and 48635647440705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1473210630 + ... + 1473243642.

It is an arithmetic number, because the mean of its divisors is an integer number (578860873200).

Almost surely, 2^{48635647440768} is an apocalyptic number.

48635647440768 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 48635647440768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74094191769600).

48635647440768 is an abundant number, since it is smaller than the sum of its proper divisors (99552736098432).

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

48635647440768 is a wasteful number, since it uses less digits than its factorization.

48635647440768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46818 (or 46800 counting only the distinct ones).

The product of its (nonzero) digits is 2601123840, while the sum is 72.

The spelling of 48635647440768 in words is "forty-eight trillion, six hundred thirty-five billion, six hundred forty-seven million, four hundred forty thousand, seven hundred sixty-eight".