45182730528 has 240 divisors, whose sum is σ = 145534656960. Its totient is φ = 13666143744.

The previous prime is 45182730521. The next prime is 45182730557. The reversal of 45182730528 is 82503728154.

45182730528 is a `hidden beast` number, since 4 + 51 + 8 + 2 + 73 + 0 + 528 = 666.

It is not an unprimeable number, because it can be changed into a prime (45182730521) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1976701 + ... + 1999427.

It is an arithmetic number, because the mean of its divisors is an integer number (606394404).

Almost surely, 2^45182730528 is an apocalyptic number.

45182730528 is a gapful number since it is divisible by the number (48) 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 45182730528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72767328480).

45182730528 is an abundant number, since it is smaller than the sum of its proper divisors (100351926432).

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

45182730528 is a wasteful number, since it uses less digits than its factorization.

45182730528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22821 (or 22804 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 45182730528 in words is "forty-five billion, one hundred eighty-two million, seven hundred thirty thousand, five hundred twenty-eight".