48324511872000 has 4224 divisors, whose sum is σ = 227346399221760. Its totient is φ = 10158317568000.

The previous prime is 48324511871983. The next prime is 48324511872001. The reversal of 48324511872000 is 27811542384.

48324511872000 is a `hidden beast` number, since 4 + 8 + 32 + 4 + 511 + 87 + 20 + 0 + 0 = 666.

48324511872000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48324511872001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 178319231865 + ... + 178319232135.

Almost surely, 2^{48324511872000} is an apocalyptic number.

48324511872000 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 48324511872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113673199610880).

48324511872000 is an abundant number, since it is smaller than the sum of its proper divisors (179021887349760).

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

48324511872000 is an equidigital number, since it uses as much as digits as its factorization.

48324511872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 48324511872000 in words is "forty-eight trillion, three hundred twenty-four billion, five hundred eleven million, eight hundred seventy-two thousand".