47125408442112 has 6048 divisors, whose sum is σ = 215648143119360. Its totient is φ = 9932577177600.

The previous prime is 47125408442111. The next prime is 47125408442173. The reversal of 47125408442112 is 21124480452174.

47125408442112 is a `hidden beast` number, since 4 + 7 + 1 + 2 + 540 + 84 + 4 + 21 + 1 + 2 = 666.

47125408442112 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 (6048).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47125408442111) 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 671 ways as a sum of consecutive naturals, for example, 663738147037 + ... + 663738147107.

It is an arithmetic number, because the mean of its divisors is an integer number (35656108320).

Almost surely, 2^{47125408442112} is an apocalyptic number.

47125408442112 is a gapful number since it is divisible by the number (42) 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 47125408442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107824071559680).

47125408442112 is an abundant number, since it is smaller than the sum of its proper divisors (168522734677248).

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

47125408442112 is a wasteful number, since it uses less digits than its factorization.

47125408442112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

Adding to 47125408442112 its reverse (21124480452174), we get a palindrome (68249888894286).

The spelling of 47125408442112 in words is "forty-seven trillion, one hundred twenty-five billion, four hundred eight million, four hundred forty-two thousand, one hundred twelve".