47643975625 has 15 divisors (see below), whose sum is σ = 59542731633. Its totient is φ = 38110815000.

The previous prime is 47643975611. The next prime is 47643975647. The reversal of 47643975625 is 52657934674.

The square root of 47643975625 is 218275.

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

It can be written as a sum of positive squares in 2 ways, for example, as 3735287689 + 43908687936 = 61117^2 + 209544^2 .

It is not a de Polignac number, because 47643975625 - 2¹³ = 47643967433 is a prime.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 47643975625.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5452510 + ... + 5461240.

Almost surely, 2^47643975625 is an apocalyptic number.

47643975625 is the 218275-th square number.

47643975625 is the 109138-th centered octagonal number.

It is an amenable number.

47643975625 is a deficient number, since it is larger than the sum of its proper divisors (11898756008).

47643975625 is an frugal number, since it uses more digits than its factorization.

47643975625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17482 (or 8736 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 58.

The spelling of 47643975625 in words is "forty-seven billion, six hundred forty-three million, nine hundred seventy-five thousand, six hundred twenty-five".