48817584548800 has 168 divisors, whose sum is σ = 126629151465600. Its totient is φ = 18472201989120.

The previous prime is 48817584548783. The next prime is 48817584548867. The reversal of 48817584548800 is 884548571884.

It is a super-2 number, since 2×48817584548800² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48817584548800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19587621 + ... + 21938779.

It is an arithmetic number, because the mean of its divisors is an integer number (753744949200).

Almost surely, 2^{48817584548800} is an apocalyptic number.

48817584548800 is a gapful number since it is divisible by the number (40) 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 48817584548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63314575732800).

48817584548800 is an abundant number, since it is smaller than the sum of its proper divisors (77811566916800).

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

48817584548800 is a wasteful number, since it uses less digits than its factorization.

48817584548800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351883 (or 2351868 counting only the distinct ones).

The product of its (nonzero) digits is 367001600, while the sum is 70.

The spelling of 48817584548800 in words is "forty-eight trillion, eight hundred seventeen billion, five hundred eighty-four million, five hundred forty-eight thousand, eight hundred".