46722378732129 has 81 divisors (see below), whose sum is σ = 72462726679161. Its totient is φ = 29003871686400.

The previous prime is 46722378732089. The next prime is 46722378732143. The reversal of 46722378732129 is 92123787322764.

It is a happy number.

The square root of 46722378732129 is 6835377.

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

46722378732129 is a `hidden beast` number, since 4 + 6 + 7 + 223 + 7 + 87 + 321 + 2 + 9 = 666.

46722378732129 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 4 ways, for example, as 27823778780625 + 18898599951504 = 5274825^2 + 4347252^2 .

It is not a de Polignac number, because 46722378732129 - 2⁹ = 46722378731617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (46722378732329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 35209026264 + ... + 35209027590.

Almost surely, 2^{46722378732129} is an apocalyptic number.

46722378732129 is the 6835377-th square number.

46722378732129 is the 3417689-th centered octagonal number.

It is an amenable number.

46722378732129 is a deficient number, since it is larger than the sum of its proper divisors (25740347947032).

46722378732129 is an equidigital number, since it uses as much as digits as its factorization.

46722378732129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 1448 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 63.

The spelling of 46722378732129 in words is "forty-six trillion, seven hundred twenty-two billion, three hundred seventy-eight million, seven hundred thirty-two thousand, one hundred twenty-nine".