45225104672 has 144 divisors (see below), whose sum is σ = 101189323872. Its totient is φ = 19731210240.

The previous prime is 45225104671. The next prime is 45225104693. The reversal of 45225104672 is 27640152254.

It is not an unprimeable number, because it can be changed into a prime (45225104671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67198928 + ... + 67199600.

It is an arithmetic number, because the mean of its divisors is an integer number (702703638).

Almost surely, 2^45225104672 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 45225104672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50594661936).

45225104672 is an abundant number, since it is smaller than the sum of its proper divisors (55964219200).

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

45225104672 is a wasteful number, since it uses less digits than its factorization.

45225104672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 38.

The spelling of 45225104672 in words is "forty-five billion, two hundred twenty-five million, one hundred four thousand, six hundred seventy-two".