45664025342652 has 168 divisors, whose sum is σ = 120936140642016. Its totient is φ = 15079145670144.

The previous prime is 45664025342633. The next prime is 45664025342659. The reversal of 45664025342652 is 25624352046654.

45664025342652 is a `hidden beast` number, since 4 + 5 + 6 + 6 + 40 + 2 + 534 + 2 + 65 + 2 = 666.

45664025342652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45664025342659) 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 55 ways as a sum of consecutive naturals, for example, 194435248 + ... + 194669960.

It is an arithmetic number, because the mean of its divisors is an integer number (719857980012).

Almost surely, 2^{45664025342652} 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 45664025342652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60468070321008).

45664025342652 is an abundant number, since it is smaller than the sum of its proper divisors (75272115299364).

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

45664025342652 is a wasteful number, since it uses less digits than its factorization.

45664025342652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235359 (or 235342 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 54.

The spelling of 45664025342652 in words is "forty-five trillion, six hundred sixty-four billion, twenty-five million, three hundred forty-two thousand, six hundred fifty-two".