47511356841 has 117 divisors (see below), whose sum is σ = 80671896039. Its totient is φ = 27966551184.

The previous prime is 47511356831. The next prime is 47511356909. The reversal of 47511356841 is 14865311574.

The square root of 47511356841 is 217971.

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

47511356841 is a `hidden beast` number, since 4 + 7 + 511 + 3 + 56 + 84 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7028307225 + 40483049616 = 83835^2 + 201204^2 .

It is a tau number, because it is divible by the number of its divisors (117).

It is not a de Polignac number, because 47511356841 - 2¹³ = 47511348649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (47511356801) by changing a digit.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 2065711156 + ... + 2065711178.

Almost surely, 2^47511356841 is an apocalyptic number.

47511356841 is the 217971-st square number.

47511356841 is the 108986-th centered octagonal number.

It is an amenable number.

47511356841 is a deficient number, since it is larger than the sum of its proper divisors (33160539198).

47511356841 is an frugal number, since it uses more digits than its factorization.

47511356841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 39 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 47511356841 in words is "forty-seven billion, five hundred eleven million, three hundred fifty-six thousand, eight hundred forty-one".