45411758028 has 720 divisors, whose sum is σ = 161619796800. Its totient is φ = 11010069504.

The previous prime is 45411758027. The next prime is 45411758047. The reversal of 45411758028 is 82085711454.

45411758028 is a `hidden beast` number, since 4 + 5 + 41 + 1 + 7 + 580 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (45411758027) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 1056087375 + ... + 1056087417.

It is an arithmetic number, because the mean of its divisors is an integer number (224471940).

Almost surely, 2^45411758028 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 45411758028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80809898400).

45411758028 is an abundant number, since it is smaller than the sum of its proper divisors (116208038772).

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

45411758028 is a wasteful number, since it uses less digits than its factorization.

45411758028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 45411758028 in words is "forty-five billion, four hundred eleven million, seven hundred fifty-eight thousand, twenty-eight".