47384568000000 has 5040 divisors, whose sum is σ = 230234392024560. Its totient is φ = 9580032000000.

The previous prime is 47384567999921. The next prime is 47384568000013. The reversal of 47384568000000 is 86548374.

47384568000000 is a `hidden beast` number, since 4 + 7 + 3 + 84 + 568 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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

It is a self number, because there is not a number n which added to its sum of digits gives 47384568000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 1280663999982 + ... + 1280664000018.

It is an arithmetic number, because the mean of its divisors is an integer number (45681426989).

Almost surely, 2^{47384568000000} is an apocalyptic number.

47384568000000 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 47384568000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115117196012280).

47384568000000 is an abundant number, since it is smaller than the sum of its proper divisors (182849824024560).

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

47384568000000 is an frugal number, since it uses more digits than its factorization.

47384568000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 47384568000000 in words is "forty-seven trillion, three hundred eighty-four billion, five hundred sixty-eight million", and thus it is an aban number.