48438616248 has 320 divisors, whose sum is σ = 158070528000. Its totient is φ = 13713235200.

The previous prime is 48438616241. The next prime is 48438616309. The reversal of 48438616248 is 84261683484.

It is a happy number.

48438616248 is a `hidden beast` number, since 4 + 8 + 4 + 3 + 8 + 6 + 1 + 624 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 48438616194 and 48438616203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48438616241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6404293 + ... + 6411851.

It is an arithmetic number, because the mean of its divisors is an integer number (493970400).

Almost surely, 2^48438616248 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 48438616248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79035264000).

48438616248 is an abundant number, since it is smaller than the sum of its proper divisors (109631911752).

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

48438616248 is a wasteful number, since it uses less digits than its factorization.

48438616248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7648 (or 7635 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 48438616248 in words is "forty-eight billion, four hundred thirty-eight million, six hundred sixteen thousand, two hundred forty-eight".