47459288448 has 768 divisors, whose sum is σ = 169337952000. Its totient is φ = 12968017920.

The previous prime is 47459288441. The next prime is 47459288479. The reversal of 47459288448 is 84488295474.

47459288448 is a `hidden beast` number, since 47 + 459 + 28 + 84 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47459288441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 533250388 + ... + 533250476.

It is an arithmetic number, because the mean of its divisors is an integer number (220492125).

Almost surely, 2^47459288448 is an apocalyptic number.

47459288448 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 47459288448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84668976000).

47459288448 is an abundant number, since it is smaller than the sum of its proper divisors (121878663552).

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

47459288448 is a wasteful number, since it uses less digits than its factorization.

47459288448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 201 counting only the distinct ones).

The product of its digits is 82575360, while the sum is 63.

The spelling of 47459288448 in words is "forty-seven billion, four hundred fifty-nine million, two hundred eighty-eight thousand, four hundred forty-eight".