45025258752 has 270 divisors, whose sum is σ = 137015146422. Its totient is φ = 14706192384.

The previous prime is 45025258723. The next prime is 45025258757. The reversal of 45025258752 is 25785252054.

45025258752 is a `hidden beast` number, since 4 + 50 + 2 + 525 + 8 + 75 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5478368256 + 39546890496 = 74016^2 + 198864^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45025258698 and 45025258707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45025258757) 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 29 ways as a sum of consecutive naturals, for example, 58247038 + ... + 58247810.

Almost surely, 2^45025258752 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 45025258752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68507573211).

45025258752 is an abundant number, since it is smaller than the sum of its proper divisors (91989887670).

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

45025258752 is an frugal number, since it uses more digits than its factorization.

45025258752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 1120000, while the sum is 45.

The spelling of 45025258752 in words is "forty-five billion, twenty-five million, two hundred fifty-eight thousand, seven hundred fifty-two".