47648187187200 has 768 divisors, whose sum is σ = 175747380019200. Its totient is φ = 12656325427200.

The previous prime is 47648187187193. The next prime is 47648187187207. The reversal of 47648187187200 is 278178184674.

47648187187200 is a `hidden beast` number, since 4 + 7 + 6 + 481 + 8 + 71 + 87 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47648187187193) and next prime (47648187187207).

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47648187187207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5817135105 + ... + 5817143295.

It is an arithmetic number, because the mean of its divisors is an integer number (228837734400).

Almost surely, 2^{47648187187200} is an apocalyptic number.

47648187187200 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 47648187187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87873690009600).

47648187187200 is an abundant number, since it is smaller than the sum of its proper divisors (128099192832000).

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

47648187187200 is an equidigital number, since it uses as much as digits as its factorization.

47648187187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8503 (or 8464 counting only the distinct ones).

The product of its (nonzero) digits is 33718272, while the sum is 63.

The spelling of 47648187187200 in words is "forty-seven trillion, six hundred forty-eight billion, one hundred eighty-seven million, one hundred eighty-seven thousand, two hundred".