48327051652992 has 768 divisors, whose sum is σ = 170611595481600. Its totient is φ = 12822344810496.

The previous prime is 48327051652987. The next prime is 48327051652993. The reversal of 48327051652992 is 29925615072384.

48327051652992 is a `hidden beast` number, since 4 + 8 + 3 + 2 + 7 + 0 + 5 + 16 + 529 + 92 = 666.

48327051652992 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 (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48327051652993) 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 95 ways as a sum of consecutive naturals, for example, 12042622378 + ... + 12042626390.

It is an arithmetic number, because the mean of its divisors is an integer number (222150514950).

It is a 1-persistent number, because it is pandigital, but 2⋅48327051652992 = 96654103305984 is not.

Almost surely, 2^{48327051652992} is an apocalyptic number.

48327051652992 is a gapful number since it is divisible by the number (42) 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 48327051652992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85305797740800).

48327051652992 is an abundant number, since it is smaller than the sum of its proper divisors (122284543828608).

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

48327051652992 is a wasteful number, since it uses less digits than its factorization.

48327051652992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5595 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 48327051652992 in words is "forty-eight trillion, three hundred twenty-seven billion, fifty-one million, six hundred fifty-two thousand, nine hundred ninety-two".