45106306432020 has 144 divisors (see below), whose sum is σ = 144926396007120. Its totient is φ = 11316457340928.

The previous prime is 45106306432013. The next prime is 45106306432027. The reversal of 45106306432020 is 2023460360154.

45106306432020 is a `hidden beast` number, since 4 + 5 + 1 + 0 + 6 + 3 + 0 + 643 + 2 + 0 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45106306432013) and next prime (45106306432027).

It can be written as a sum of positive squares in 8 ways, for example, as 823164256656 + 44283142175364 = 907284^2 + 6654558^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45106306432027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5158584 + ... + 10808496.

It is an arithmetic number, because the mean of its divisors is an integer number (1006433305605).

Almost surely, 2^{45106306432020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45106306432020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72463198003560).

45106306432020 is an abundant number, since it is smaller than the sum of its proper divisors (99820089575100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45106306432020 is a wasteful number, since it uses less digits than its factorization.

45106306432020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5652554 (or 5652549 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 45106306432020 its reverse (2023460360154), we get a palindrome (47129766792174).

The spelling of 45106306432020 in words is "forty-five trillion, one hundred six billion, three hundred six million, four hundred thirty-two thousand, twenty".