45065125120 has 144 divisors (see below), whose sum is σ = 110118456000. Its totient is φ = 17665081344.

The previous prime is 45065125111. The next prime is 45065125153. The reversal of 45065125120 is 2152156054.

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 15 ways as a sum of consecutive naturals, for example, 30886951 + ... + 30888409.

It is an arithmetic number, because the mean of its divisors is an integer number (764711500).

Almost surely, 2^45065125120 is an apocalyptic number.

45065125120 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 45065125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55059228000).

45065125120 is an abundant number, since it is smaller than the sum of its proper divisors (65053330880).

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

45065125120 is a wasteful number, since it uses less digits than its factorization.

45065125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The spelling of 45065125120 in words is "forty-five billion, sixty-five million, one hundred twenty-five thousand, one hundred twenty".