47949365004304 has 135 divisors (see below), whose sum is σ = 96170838791517. Its totient is φ = 23159455466112.

The previous prime is 47949365004283. The next prime is 47949365004341. The reversal of 47949365004304 is 40340056394974.

The square root of 47949365004304 is 6924548.

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., 2684026890000 + 45265338114304 = 1638300^2 + 6727952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 151259826354 + ... + 151259826670.

Almost surely, 2^{47949365004304} is an apocalyptic number.

47949365004304 is the 6924548-th square number.

It is an amenable number.

47949365004304 is an abundant number, since it is smaller than the sum of its proper divisors (48221473787213).

47949365004304 is an frugal number, since it uses more digits than its factorization.

47949365004304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 58.

The spelling of 47949365004304 in words is "forty-seven trillion, nine hundred forty-nine billion, three hundred sixty-five million, four thousand, three hundred four".