47112345524160 has 672 divisors, whose sum is σ = 192117609395712. Its totient is φ = 10765054586880.

The previous prime is 47112345524107. The next prime is 47112345524173. The reversal of 47112345524160 is 6142554321174.

It is a happy number.

47112345524160 is a `hidden beast` number, since 4 + 7 + 1 + 1 + 2 + 34 + 552 + 4 + 1 + 60 = 666.

47112345524160 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 (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1927424899 + ... + 1927449341.

It is an arithmetic number, because the mean of its divisors is an integer number (285889299696).

Almost surely, 2^{47112345524160} is an apocalyptic number.

47112345524160 is a gapful number since it is divisible by the number (40) 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 47112345524160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96058804697856).

47112345524160 is an abundant number, since it is smaller than the sum of its proper divisors (145005263871552).

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

47112345524160 is a wasteful number, since it uses less digits than its factorization.

47112345524160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28023 (or 28001 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 47112345524160 in words is "forty-seven trillion, one hundred twelve billion, three hundred forty-five million, five hundred twenty-four thousand, one hundred sixty".