47423179829601 has 45 divisors (see below), whose sum is σ = 72208897537161. Its totient is φ = 31016786662368.

The previous prime is 47423179829569. The next prime is 47423179829611. The reversal of 47423179829601 is 10692897132474.

The square root of 47423179829601 is 6886449.

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

47423179829601 is a `hidden beast` number, since 4 + 7 + 4 + 2 + 3 + 17 + 9 + 8 + 2 + 9 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2432355279201 + 44990824550400 = 1559601^2 + 6707520^2 .

It is not a de Polignac number, because 47423179829601 - 2⁵ = 47423179829569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (47423179829611) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3284828955 + ... + 3284843391.

Almost surely, 2^{47423179829601} is an apocalyptic number.

47423179829601 is the 6886449-th square number.

47423179829601 is the 3443225-th centered octagonal number.

It is an amenable number.

47423179829601 is a deficient number, since it is larger than the sum of its proper divisors (24785717707560).

47423179829601 is an frugal number, since it uses more digits than its factorization.

47423179829601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28992 (or 14493 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 47423179829601 in words is "forty-seven trillion, four hundred twenty-three billion, one hundred seventy-nine million, eight hundred twenty-nine thousand, six hundred one".