45113696188929 has 45 divisors (see below), whose sum is σ = 67561988393361. Its totient is φ = 30000154287960.

The previous prime is 45113696188907. The next prime is 45113696188961. The reversal of 45113696188929 is 92988169631154.

The square root of 45113696188929 is 6716673.

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

45113696188929 is a `hidden beast` number, since 4 + 511 + 3 + 6 + 9 + 6 + 1 + 8 + 89 + 29 = 666.

45113696188929 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45113696188929 - 2²⁷ = 45113561971201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45113696189929) 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 44 ways as a sum of consecutive naturals, for example, 34516981894 + ... + 34516983200.

Almost surely, 2^{45113696188929} is an apocalyptic number.

45113696188929 is the 6716673-rd square number.

45113696188929 is the 3358337-th centered octagonal number.

It is an amenable number.

45113696188929 is a deficient number, since it is larger than the sum of its proper divisors (22448292204432).

45113696188929 is an frugal number, since it uses more digits than its factorization.

45113696188929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768 (or 1881 counting only the distinct ones).

The product of its digits is 201553920, while the sum is 72.

The spelling of 45113696188929 in words is "forty-five trillion, one hundred thirteen billion, six hundred ninety-six million, one hundred eighty-eight thousand, nine hundred twenty-nine".