47348001520064 has 112 divisors (see below), whose sum is σ = 110883360737280. Its totient is φ = 19630150087680.

The previous prime is 47348001519977. The next prime is 47348001520073. The reversal of 47348001520064 is 46002510084374.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 47348001519997 and 47348001520024.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 36965102 + ... + 38224530.

Almost surely, 2^{47348001520064} 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 47348001520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55441680368640).

47348001520064 is an abundant number, since it is smaller than the sum of its proper divisors (63535359217216).

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

47348001520064 is a wasteful number, since it uses less digits than its factorization.

47348001520064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262186 (or 1262176 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 44.

The spelling of 47348001520064 in words is "forty-seven trillion, three hundred forty-eight billion, one million, five hundred twenty thousand, sixty-four".