47831145600 has 768 divisors, whose sum is σ = 192603744000. Its totient is φ = 10184294400.

The previous prime is 47831145577. The next prime is 47831145631. The reversal of 47831145600 is 654113874.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170217460 + ... + 170217740.

It is an arithmetic number, because the mean of its divisors is an integer number (250786125).

Almost surely, 2^47831145600 is an apocalyptic number.

47831145600 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 47831145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96301872000).

47831145600 is an abundant number, since it is smaller than the sum of its proper divisors (144772598400).

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

47831145600 is a wasteful number, since it uses less digits than its factorization.

47831145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 47831145600 in words is "forty-seven billion, eight hundred thirty-one million, one hundred forty-five thousand, six hundred".