48863524320 has 1152 divisors, whose sum is σ = 204002426880. Its totient is φ = 10868981760.

The previous prime is 48863524313. The next prime is 48863524321. The reversal of 48863524320 is 2342536884.

48863524320 is a `hidden beast` number, since 4 + 8 + 8 + 635 + 2 + 4 + 3 + 2 + 0 = 666.

48863524320 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 (48863524321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 384752097 + ... + 384752223.

It is an arithmetic number, because the mean of its divisors is an integer number (177085440).

Almost surely, 2^48863524320 is an apocalyptic number.

48863524320 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 48863524320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102001213440).

48863524320 is an abundant number, since it is smaller than the sum of its proper divisors (155138902560).

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

48863524320 is a wasteful number, since it uses less digits than its factorization.

48863524320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 48863524320 in words is "forty-eight billion, eight hundred sixty-three million, five hundred twenty-four thousand, three hundred twenty".