48395424672 has 288 divisors, whose sum is σ = 165510051840. Its totient is φ = 13716864000.

The previous prime is 48395424667. The next prime is 48395424683. The reversal of 48395424672 is 27642459384.

It is a happy number.

48395424672 is a `hidden beast` number, since 4 + 8 + 39 + 542 + 4 + 67 + 2 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5372172 + ... + 5381172.

It is an arithmetic number, because the mean of its divisors is an integer number (574687680).

Almost surely, 2^48395424672 is an apocalyptic number.

48395424672 is a gapful number since it is divisible by the number (42) 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 48395424672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82755025920).

48395424672 is an abundant number, since it is smaller than the sum of its proper divisors (117114627168).

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

48395424672 is a wasteful number, since it uses less digits than its factorization.

48395424672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9161 (or 9140 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 48395424672 in words is "forty-eight billion, three hundred ninety-five million, four hundred twenty-four thousand, six hundred seventy-two".