47709190809856 has 81 divisors (see below), whose sum is σ = 100512453417033. Its totient is φ = 22598095749120.

The previous prime is 47709190809823. The next prime is 47709190809859. The reversal of 47709190809856 is 65890809190774.

The square root of 47709190809856 is 6907184.

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., 18821575731456 + 28887615078400 = 4338384^2 + 5374720^2 .

It is a super-3 number, since 3×47709190809856³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47709190809859) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2099772576 + ... + 2099795296.

Almost surely, 2^{47709190809856} is an apocalyptic number.

47709190809856 is the 6907184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47709190809856

47709190809856 is an abundant number, since it is smaller than the sum of its proper divisors (52803262607177).

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

47709190809856 is an frugal number, since it uses more digits than its factorization.

47709190809856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45496 (or 22742 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 73.

The spelling of 47709190809856 in words is "forty-seven trillion, seven hundred nine billion, one hundred ninety million, eight hundred nine thousand, eight hundred fifty-six".