47083134204288 has 1536 divisors, whose sum is σ = 187956147456000. Its totient is φ = 11283452264448.

The previous prime is 47083134204283. The next prime is 47083134204289. The reversal of 47083134204288 is 88240243138074.

47083134204288 is a `hidden beast` number, since 4 + 7 + 0 + 8 + 313 + 42 + 0 + 4 + 288 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47083134204283) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2635782045 + ... + 2635799907.

It is an arithmetic number, because the mean of its divisors is an integer number (122367283500).

Almost surely, 2^{47083134204288} is an apocalyptic number.

47083134204288 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 47083134204288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93978073728000).

47083134204288 is an abundant number, since it is smaller than the sum of its proper divisors (140873013251712).

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

47083134204288 is a wasteful number, since it uses less digits than its factorization.

47083134204288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17969 (or 17934 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 47083134204288 in words is "forty-seven trillion, eighty-three billion, one hundred thirty-four million, two hundred four thousand, two hundred eighty-eight".