48144385152 has 768 divisors, whose sum is σ = 165337920000. Its totient is φ = 13739507712.

The previous prime is 48144385147. The next prime is 48144385193. The reversal of 48144385152 is 25158344184.

48144385152 is a `hidden beast` number, since 4 + 81 + 44 + 385 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 48144385098 and 48144385107.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 816006499 + ... + 816006557.

It is an arithmetic number, because the mean of its divisors is an integer number (215283750).

Almost surely, 2^48144385152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48144385152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82668960000).

48144385152 is an abundant number, since it is smaller than the sum of its proper divisors (117193534848).

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

48144385152 is a wasteful number, since it uses less digits than its factorization.

48144385152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 143 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The spelling of 48144385152 in words is "forty-eight billion, one hundred forty-four million, three hundred eighty-five thousand, one hundred fifty-two".