45445052000 has 192 divisors, whose sum is σ = 114811167744. Its totient is φ = 17670182400.

The previous prime is 45445051987. The next prime is 45445052077. The reversal of 45445052000 is 25054454.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30643259 + ... + 30644741.

It is an arithmetic number, because the mean of its divisors is an integer number (597974832).

Almost surely, 2^45445052000 is an apocalyptic number.

45445052000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45445052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57405583872).

45445052000 is an abundant number, since it is smaller than the sum of its proper divisors (69366115744).

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

45445052000 is a wasteful number, since it uses less digits than its factorization.

45445052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 29.

The spelling of 45445052000 in words is "forty-five billion, four hundred forty-five million, fifty-two thousand".