45552123305352 has 32 divisors (see below), whose sum is σ = 126533675848800. Its totient is φ = 15184041101712.

The previous prime is 45552123305321. The next prime is 45552123305383. The reversal of 45552123305352 is 25350332125554.

45552123305352 is a `hidden beast` number, since 4 + 5 + 5 + 5 + 212 + 330 + 53 + 52 = 666.

45552123305352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45552123305321) and next prime (45552123305383).

It is a junction number, because it is equal to n+sod(n) for n = 45552123305298 and 45552123305307.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 105444729658 + ... + 105444730089.

It is an arithmetic number, because the mean of its divisors is an integer number (3954177370275).

Almost surely, 2^{45552123305352} is an apocalyptic number.

It is an amenable number.

45552123305352 is an abundant number, since it is smaller than the sum of its proper divisors (80981552543448).

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

45552123305352 is a wasteful number, since it uses less digits than its factorization.

45552123305352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210889459762 (or 210889459752 counting only the distinct ones).

The product of its (nonzero) digits is 2700000, while the sum is 45.

The spelling of 45552123305352 in words is "forty-five trillion, five hundred fifty-two billion, one hundred twenty-three million, three hundred five thousand, three hundred fifty-two".