47147982336000 has 4680 divisors, whose sum is σ = 224769417361632. Its totient is φ = 9626812416000.

The previous prime is 47147982335989. The next prime is 47147982336011. The reversal of 47147982336000 is 63328974174.

47147982336000 is a `hidden beast` number, since 4 + 7 + 1 + 4 + 7 + 9 + 8 + 23 + 3 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47147982335989) and next prime (47147982336011).

It is a tau number, because it is divible by the number of its divisors (4680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1520902655985 + ... + 1520902656015.

Almost surely, 2^{47147982336000} is an apocalyptic number.

47147982336000 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 47147982336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112384708680816).

47147982336000 is an abundant number, since it is smaller than the sum of its proper divisors (177621435025632).

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

47147982336000 is an equidigital number, since it uses as much as digits as its factorization.

47147982336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 47147982336000 in words is "forty-seven trillion, one hundred forty-seven billion, nine hundred eighty-two million, three hundred thirty-six thousand".