47660129344 has 63 divisors (see below), whose sum is σ = 98053452991. Its totient is φ = 22983887360.

The previous prime is 47660129327. The next prime is 47660129389. The reversal of 47660129344 is 44392106674.

The square root of 47660129344 is 218312.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1004129344 + 46656000000 = 31688^2 + 216000^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 47660129294 and 47660129303.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 50647914 + ... + 50648854.

Almost surely, 2^47660129344 is an apocalyptic number.

47660129344 is the 218312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47660129344

47660129344 is an abundant number, since it is smaller than the sum of its proper divisors (50393323647).

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

47660129344 is an frugal number, since it uses more digits than its factorization.

47660129344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 46.

The spelling of 47660129344 in words is "forty-seven billion, six hundred sixty million, one hundred twenty-nine thousand, three hundred forty-four".