48917035542528 has 288 divisors, whose sum is σ = 142968188563200. Its totient is φ = 16111820242944.

The previous prime is 48917035542523. The next prime is 48917035542587. The reversal of 48917035542528 is 82524553071984.

It is a happy number.

48917035542528 is a `hidden beast` number, since 4 + 8 + 9 + 1 + 7 + 0 + 35 + 542 + 52 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (48917035542523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 737302125 + ... + 737368467.

It is an arithmetic number, because the mean of its divisors is an integer number (496417321400).

Almost surely, 2^{48917035542528} is an apocalyptic number.

48917035542528 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 48917035542528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71484094281600).

48917035542528 is an abundant number, since it is smaller than the sum of its proper divisors (94051153020672).

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

48917035542528 is a wasteful number, since it uses less digits than its factorization.

48917035542528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66847 (or 66824 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 48917035542528 in words is "forty-eight trillion, nine hundred seventeen billion, thirty-five million, five hundred forty-two thousand, five hundred twenty-eight".