47859437824 has 135 divisors (see below), whose sum is σ = 106022645365. Its totient is φ = 21561774080.

The previous prime is 47859437807. The next prime is 47859437827. The reversal of 47859437824 is 42873495874.

The square root of 47859437824 is 218768.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 843321600 + 47016116224 = 29040^2 + 216832^2 .

It is a Duffinian number.

Its product of digits (54190080) is a multiple of the sum of its prime divisors (126).

It is not an unprimeable number, because it can be changed into a prime (47859437827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 423534792 + ... + 423534904.

Almost surely, 2^47859437824 is an apocalyptic number.

47859437824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

47859437824 is the 218768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47859437824

47859437824 is an abundant number, since it is smaller than the sum of its proper divisors (58163207541).

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

47859437824 is an frugal number, since it uses more digits than its factorization.

47859437824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 126 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 61.

The spelling of 47859437824 in words is "forty-seven billion, eight hundred fifty-nine million, four hundred thirty-seven thousand, eight hundred twenty-four".