47845000224 has 216 divisors, whose sum is σ = 163380043008. Its totient is φ = 13228911360.

The previous prime is 47845000183. The next prime is 47845000241. The reversal of 47845000224 is 42200054874.

It is a Cunningham number, because it is equal to 218735²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 382789 + ... + 492155.

It is an arithmetic number, because the mean of its divisors is an integer number (756389088).

Almost surely, 2^47845000224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47845000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81690021504).

47845000224 is an abundant number, since it is smaller than the sum of its proper divisors (115535042784).

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

47845000224 is a wasteful number, since it uses less digits than its factorization.

47845000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109428 (or 109410 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 47845000224 in words is "forty-seven billion, eight hundred forty-five million, two hundred twenty-four", and thus it is an aban number.