47412478891584 has 189 divisors, whose sum is σ = 136439065870497. Its totient is φ = 15741637728768.

The previous prime is 47412478891529. The next prime is 47412478891607. The reversal of 47412478891584 is 48519887421474.

The square root of 47412478891584 is 6885672.

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

47412478891584 is a `hidden beast` number, since 4 + 7 + 4 + 12 + 478 + 8 + 91 + 58 + 4 = 666.

47412478891584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 29291042894400 + 18121435997184 = 5412120^2 + 4256928^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 62632072134 + ... + 62632072890.

Almost surely, 2^{47412478891584} is an apocalyptic number.

47412478891584 is the 6885672-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47412478891584

47412478891584 is an abundant number, since it is smaller than the sum of its proper divisors (89026586978913).

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

47412478891584 is an frugal number, since it uses more digits than its factorization.

47412478891584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 1141 counting only the distinct ones).

The product of its digits is 578027520, while the sum is 72.

The spelling of 47412478891584 in words is "forty-seven trillion, four hundred twelve billion, four hundred seventy-eight million, eight hundred ninety-one thousand, five hundred eighty-four".