48386237760 has 1344 divisors, whose sum is σ = 215404842240. Its totient is φ = 10283728896.

The previous prime is 48386237723. The next prime is 48386237771. The reversal of 48386237760 is 6773268384.

48386237760 is a `hidden beast` number, since 4 + 8 + 3 + 8 + 623 + 7 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 48386237697 and 48386237706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 582966679 + ... + 582966761.

It is an arithmetic number, because the mean of its divisors is an integer number (160271460).

Almost surely, 2^48386237760 is an apocalyptic number.

48386237760 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 48386237760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107702421120).

48386237760 is an abundant number, since it is smaller than the sum of its proper divisors (167018604480).

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

48386237760 is an equidigital number, since it uses as much as digits as its factorization.

48386237760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

It can be divided in two parts, 48386 and 237760, that added together give a triangular number (286146 = T₇₅₆).

The spelling of 48386237760 in words is "forty-eight billion, three hundred eighty-six million, two hundred thirty-seven thousand, seven hundred sixty".