45549590112 has 384 divisors, whose sum is σ = 153115200000. Its totient is φ = 13056215040.

The previous prime is 45549590087. The next prime is 45549590113. The reversal of 45549590112 is 21109594554.

45549590112 is a `hidden beast` number, since 4 + 5 + 5 + 49 + 590 + 1 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45549590113) 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 63 ways as a sum of consecutive naturals, for example, 13016139 + ... + 13019637.

It is an arithmetic number, because the mean of its divisors is an integer number (398737500).

Almost surely, 2^45549590112 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 45549590112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76557600000).

45549590112 is an abundant number, since it is smaller than the sum of its proper divisors (107565609888).

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

45549590112 is a wasteful number, since it uses less digits than its factorization.

45549590112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3611 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 45549590112 in words is "forty-five billion, five hundred forty-nine million, five hundred ninety thousand, one hundred twelve".