47331648 has 336 divisors, whose sum is σ = 178368960. Its totient is φ = 12192768.

The previous prime is 47331643. The next prime is 47331649. The reversal of 47331648 is 84613374.

47331648 is a `hidden beast` number, since 4 + 7 + 3 + 3 + 1 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47331643) 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, 1100715 + ... + 1100757.

It is an arithmetic number, because the mean of its divisors is an integer number (530860).

Almost surely, 2^47331648 is an apocalyptic number.

47331648 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 47331648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89184480).

47331648 is an abundant number, since it is smaller than the sum of its proper divisors (131037312).

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

47331648 is a wasteful number, since it uses less digits than its factorization.

47331648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 68 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 47331648 is about 6879.7999970929. The cubic root of 47331648 is about 361.7294560888.

The spelling of 47331648 in words is "forty-seven million, three hundred thirty-one thousand, six hundred forty-eight".