45169446528 has 224 divisors, whose sum is σ = 136185723300. Its totient is φ = 14914990080.

The previous prime is 45169446527. The next prime is 45169446541. The reversal of 45169446528 is 82564496154.

It is a happy number.

45169446528 is a `hidden beast` number, since 4 + 51 + 69 + 4 + 4 + 6 + 528 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45083179584 + 86266944 = 212328^2 + 9288^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (45169446527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10168788 + ... + 10173228.

Almost surely, 2^45169446528 is an apocalyptic number.

45169446528 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 45169446528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68092861650).

45169446528 is an abundant number, since it is smaller than the sum of its proper divisors (91016276772).

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

45169446528 is an equidigital number, since it uses as much as digits as its factorization.

45169446528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4582 (or 4555 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 45169446528 in words is "forty-five billion, one hundred sixty-nine million, four hundred forty-six thousand, five hundred twenty-eight".