47352066192864 has 288 divisors, whose sum is σ = 136647145514880. Its totient is φ = 15552650880000.

The previous prime is 47352066192863. The next prime is 47352066192877. The reversal of 47352066192864 is 46829166025374.

47352066192864 is a `hidden beast` number, since 4 + 7 + 3 + 5 + 2 + 0 + 6 + 619 + 2 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47352066192863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14565383239 + ... + 14565386489.

It is an arithmetic number, because the mean of its divisors is an integer number (474469255260).

It is a 1-persistent number, because it is pandigital, but 2⋅47352066192864 = 94704132385728 is not.

Almost surely, 2^{47352066192864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47352066192864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68323572757440).

47352066192864 is an abundant number, since it is smaller than the sum of its proper divisors (89295079322016).

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

47352066192864 is a wasteful number, since it uses less digits than its factorization.

47352066192864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6014 (or 6003 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 47352066192864 in words is "forty-seven trillion, three hundred fifty-two billion, sixty-six million, one hundred ninety-two thousand, eight hundred sixty-four".