48541354848 has 288 divisors, whose sum is σ = 161608172544. Its totient is φ = 13532461056.

The previous prime is 48541354843. The next prime is 48541354853. The reversal of 48541354848 is 84845314584.

48541354848 is a `hidden beast` number, since 4 + 8 + 54 + 1 + 3 + 548 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (48541354843) and next prime (48541354853).

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 48541354794 and 48541354803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48541354843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44248636 + ... + 44249732.

It is an arithmetic number, because the mean of its divisors is an integer number (561139488).

Almost surely, 2^48541354848 is an apocalyptic number.

48541354848 is a gapful number since it is divisible by the number (48) 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 48541354848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80804086272).

48541354848 is an abundant number, since it is smaller than the sum of its proper divisors (113066817696).

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

48541354848 is a wasteful number, since it uses less digits than its factorization.

48541354848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1623 counting only the distinct ones).

The product of its digits is 9830400, while the sum is 54.

The spelling of 48541354848 in words is "forty-eight billion, five hundred forty-one million, three hundred fifty-four thousand, eight hundred forty-eight".