48589661846880 has 3456 divisors, whose sum is σ = 230488834867200. Its totient is φ = 9434470256640.

The previous prime is 48589661846851. The next prime is 48589661846881. The reversal of 48589661846880 is 8864816698584.

48589661846880 is a `hidden beast` number, since 4 + 8 + 5 + 8 + 9 + 66 + 18 + 468 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 48589661846880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48589661846881) 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 575 ways as a sum of consecutive naturals, for example, 49429970869 + ... + 49429971851.

It is an arithmetic number, because the mean of its divisors is an integer number (66692371200).

Almost surely, 2^{48589661846880} is an apocalyptic number.

48589661846880 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 48589661846880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115244417433600).

48589661846880 is an abundant number, since it is smaller than the sum of its proper divisors (181899173020320).

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

48589661846880 is a wasteful number, since it uses less digits than its factorization.

48589661846880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 5096079360, while the sum is 81.

The spelling of 48589661846880 in words is "forty-eight trillion, five hundred eighty-nine billion, six hundred sixty-one million, eight hundred forty-six thousand, eight hundred eighty".