48189168000 has 960 divisors, whose sum is σ = 190725369120. Its totient is φ = 12055910400.

The previous prime is 48189167969. The next prime is 48189168011. The reversal of 48189168000 is 86198184.

48189168000 is a `hidden beast` number, since 481 + 8 + 9 + 168 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 467855949 + ... + 467856051.

Almost surely, 2^48189168000 is an apocalyptic number.

48189168000 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 48189168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95362684560).

48189168000 is an abundant number, since it is smaller than the sum of its proper divisors (142536201120).

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

48189168000 is a wasteful number, since it uses less digits than its factorization.

48189168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 48189168000 in words is "forty-eight billion, one hundred eighty-nine million, one hundred sixty-eight thousand".