45445095200 has 54 divisors (see below), whose sum is σ = 110957560371. Its totient is φ = 18175626240.

The previous prime is 45445095187. The next prime is 45445095233. The reversal of 45445095200 is 259054454.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 13388341264 + 32056753936 = 115708^2 + 179044^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=150740.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 6025832 + ... + 6033368.

Almost surely, 2^45445095200 is an apocalyptic number.

45445095200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45445095200 is an abundant number, since it is smaller than the sum of its proper divisors (65512465171).

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

45445095200 is an frugal number, since it uses more digits than its factorization.

45445095200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15094 (or 7544 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

The spelling of 45445095200 in words is "forty-five billion, four hundred forty-five million, ninety-five thousand, two hundred".