47830127401 has 27 divisors (see below), whose sum is σ = 56278574199. Its totient is φ = 40531418928.

The previous prime is 47830127399. The next prime is 47830127437. The reversal of 47830127401 is 10472103874.

The square root of 47830127401 is 218701.

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

47830127401 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., 14019744025 + 33810383376 = 118405^2 + 183876^2 .

It is not a de Polignac number, because 47830127401 - 2¹ = 47830127399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47830127491) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 240352300 + ... + 240352498.

It is an arithmetic number, because the mean of its divisors is an integer number (2084391637).

Almost surely, 2^47830127401 is an apocalyptic number.

47830127401 is the 218701-st square number.

47830127401 is the 109351-st centered octagonal number.

It is an amenable number.

47830127401 is a deficient number, since it is larger than the sum of its proper divisors (8448446798).

47830127401 is an frugal number, since it uses more digits than its factorization.

47830127401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The spelling of 47830127401 in words is "forty-seven billion, eight hundred thirty million, one hundred twenty-seven thousand, four hundred one".