47712470337315 has 576 divisors, whose sum is σ = 109328460853248. Its totient is φ = 19091087769600.

The previous prime is 47712470337293. The next prime is 47712470337317. The reversal of 47712470337315 is 51373307421774.

47712470337315 is a `hidden beast` number, since 4 + 7 + 71 + 2 + 470 + 33 + 73 + 1 + 5 = 666.

47712470337315 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 47712470337315 - 2⁷ = 47712470337187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (47712470337317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3192102672 + ... + 3192117618.

It is an arithmetic number, because the mean of its divisors is an integer number (189806355648).

Almost surely, 2^{47712470337315} is an apocalyptic number.

47712470337315 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

47712470337315 is an abundant number, since it is smaller than the sum of its proper divisors (61615990515933).

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

47712470337315 is a wasteful number, since it uses less digits than its factorization.

47712470337315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15128 (or 15118 counting only the distinct ones).

The product of its (nonzero) digits is 10372320, while the sum is 54.

The spelling of 47712470337315 in words is "forty-seven trillion, seven hundred twelve billion, four hundred seventy million, three hundred thirty-seven thousand, three hundred fifteen".