47068481281536 has 1440 divisors, whose sum is σ = 166128197114880. Its totient is φ = 12647190528000.

The previous prime is 47068481281513. The next prime is 47068481281589. The reversal of 47068481281536 is 63518218486074.

47068481281536 is a `hidden beast` number, since 4 + 7 + 0 + 6 + 8 + 4 + 8 + 12 + 81 + 536 = 666.

47068481281536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 143 ways as a sum of consecutive naturals, for example, 151345598821 + ... + 151345599131.

It is an arithmetic number, because the mean of its divisors is an integer number (115366803552).

Almost surely, 2^{47068481281536} 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 47068481281536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83064098557440).

47068481281536 is an abundant number, since it is smaller than the sum of its proper divisors (119059715833344).

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

47068481281536 is a wasteful number, since it uses less digits than its factorization.

47068481281536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 47068481281536 in words is "forty-seven trillion, sixty-eight billion, four hundred eighty-one million, two hundred eighty-one thousand, five hundred thirty-six".