47538632448 has 216 divisors, whose sum is σ = 149055208848. Its totient is φ = 14510555136.

The previous prime is 47538632441. The next prime is 47538632467. The reversal of 47538632448 is 84423683574.

47538632448 is a `hidden beast` number, since 4 + 7 + 538 + 63 + 2 + 4 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 47538632394 and 47538632403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47538632441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1432815 + ... + 1465617.

Almost surely, 2^47538632448 is an apocalyptic number.

47538632448 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 47538632448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74527604424).

47538632448 is an abundant number, since it is smaller than the sum of its proper divisors (101516576400).

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

47538632448 is a wasteful number, since it uses less digits than its factorization.

47538632448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32879 (or 32862 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 47538632448 in words is "forty-seven billion, five hundred thirty-eight million, six hundred thirty-two thousand, four hundred forty-eight".