47909249676288 has 1584 divisors, whose sum is σ = 191664512335296. Its totient is φ = 11328265912320.

The previous prime is 47909249676283. The next prime is 47909249676383. The reversal of 47909249676288 is 88267694290974.

47909249676288 is a `hidden beast` number, since 4 + 7 + 90 + 9 + 249 + 6 + 7 + 6 + 288 = 666.

47909249676288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47909249676283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4714080295 + ... + 4714090457.

It is an arithmetic number, because the mean of its divisors is an integer number (121000323444).

Almost surely, 2^{47909249676288} is an apocalyptic number.

47909249676288 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 47909249676288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95832256167648).

47909249676288 is an abundant number, since it is smaller than the sum of its proper divisors (143755262659008).

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

47909249676288 is a wasteful number, since it uses less digits than its factorization.

47909249676288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10300 (or 10272 counting only the distinct ones).

The product of its (nonzero) digits is 5267275776, while the sum is 81.

The spelling of 47909249676288 in words is "forty-seven trillion, nine hundred nine billion, two hundred forty-nine million, six hundred seventy-six thousand, two hundred eighty-eight".