48189755676384 has 960 divisors, whose sum is σ = 172918619596800. Its totient is φ = 12859014684672.

The previous prime is 48189755676371. The next prime is 48189755676431. The reversal of 48189755676384 is 48367655798184.

48189755676384 is a `hidden beast` number, since 4 + 8 + 18 + 9 + 7 + 5 + 567 + 6 + 38 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29875855162 + ... + 29875856774.

It is an arithmetic number, because the mean of its divisors is an integer number (180123562080).

Almost surely, 2^{48189755676384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48189755676384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86459309798400).

48189755676384 is an abundant number, since it is smaller than the sum of its proper divisors (124728863920416).

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

48189755676384 is a wasteful number, since it uses less digits than its factorization.

48189755676384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2820 counting only the distinct ones).

The product of its digits is 9754214400, while the sum is 81.

The spelling of 48189755676384 in words is "forty-eight trillion, one hundred eighty-nine billion, seven hundred fifty-five million, six hundred seventy-six thousand, three hundred eighty-four".