45125688000 has 224 divisors, whose sum is σ = 149379310080. Its totient is φ = 12003302400.

The previous prime is 45125687983. The next prime is 45125688001. The reversal of 45125688000 is 88652154.

It is a super-3 number, since 3×45125688000³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45125688000.

It is not an unprimeable number, because it can be changed into a prime (45125688001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10533859 + ... + 10538141.

It is an arithmetic number, because the mean of its divisors is an integer number (666871920).

Almost surely, 2^45125688000 is an apocalyptic number.

45125688000 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 45125688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74689655040).

45125688000 is an abundant number, since it is smaller than the sum of its proper divisors (104253622080).

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

45125688000 is a wasteful number, since it uses less digits than its factorization.

45125688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4752 (or 4732 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 45125688000 in words is "forty-five billion, one hundred twenty-five million, six hundred eighty-eight thousand".