47831347200 has 1248 divisors, whose sum is σ = 204761894400. Its totient is φ = 9578741760.

The previous prime is 47831347199. The next prime is 47831347231. The reversal of 47831347200 is 274313874.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 810700771 + ... + 810700829.

Almost surely, 2^47831347200 is an apocalyptic number.

47831347200 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 47831347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102380947200).

47831347200 is an abundant number, since it is smaller than the sum of its proper divisors (156930547200).

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

47831347200 is a wasteful number, since it uses less digits than its factorization.

47831347200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 47831347200 in words is "forty-seven billion, eight hundred thirty-one million, three hundred forty-seven thousand, two hundred".