47383584768000 has 1632 divisors, whose sum is σ = 190891284310272. Its totient is φ = 11657281536000.

The previous prime is 47383584767941. The next prime is 47383584768001. The reversal of 47383584768000 is 86748538374.

47383584768000 is a `hidden beast` number, since 4 + 7 + 3 + 83 + 5 + 8 + 476 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×47383584768000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47383584768001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25878527085 + ... + 25878528915.

Almost surely, 2^{47383584768000} is an apocalyptic number.

47383584768000 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 47383584768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95445642155136).

47383584768000 is an abundant number, since it is smaller than the sum of its proper divisors (143507699542272).

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

47383584768000 is an frugal number, since it uses more digits than its factorization.

47383584768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 47383584768000 in words is "forty-seven trillion, three hundred eighty-three billion, five hundred eighty-four million, seven hundred sixty-eight thousand".