47145471457536 has 243 divisors, whose sum is σ = 138596514574609. Its totient is φ = 15412932028416.

The previous prime is 47145471457439. The next prime is 47145471457597. The reversal of 47145471457536 is 63575417454174.

The square root of 47145471457536 is 6866256.

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

47145471457536 is a `hidden beast` number, since 4 + 7 + 1 + 4 + 5 + 47 + 1 + 4 + 57 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33987034425600 + 13158437031936 = 5829840^2 + 3627456^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17467753915 + ... + 17467756613.

Almost surely, 2^{47145471457536} is an apocalyptic number.

47145471457536 is the 6866256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47145471457536

47145471457536 is an abundant number, since it is smaller than the sum of its proper divisors (91451043117073).

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

47145471457536 is an frugal number, since it uses more digits than its factorization.

47145471457536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5526 (or 2757 counting only the distinct ones).

The product of its digits is 197568000, while the sum is 63.

The spelling of 47145471457536 in words is "forty-seven trillion, one hundred forty-five billion, four hundred seventy-one million, four hundred fifty-seven thousand, five hundred thirty-six".