47171712000 has 1056 divisors, whose sum is σ = 192212317440. Its totient is φ = 10218700800.

The previous prime is 47171711969. The next prime is 47171712031. The reversal of 47171712000 is 21717174.

It is an interprime number because it is at equal distance from previous prime (47171711969) and next prime (47171712031).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 432767946 + ... + 432768054.

It is an arithmetic number, because the mean of its divisors is an integer number (182019240).

Almost surely, 2^47171712000 is an apocalyptic number.

47171712000 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 47171712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96106158720).

47171712000 is an abundant number, since it is smaller than the sum of its proper divisors (145040605440).

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

47171712000 is a wasteful number, since it uses less digits than its factorization.

47171712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 30.

The spelling of 47171712000 in words is "forty-seven billion, one hundred seventy-one million, seven hundred twelve thousand".