45288888528 has 320 divisors, whose sum is σ = 137991168000. Its totient is φ = 12674672640.

The previous prime is 45288888493. The next prime is 45288888551. The reversal of 45288888528 is 82588888254.

It is a super-2 number, since 2×45288888528² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 54762451 + ... + 54763277.

It is an arithmetic number, because the mean of its divisors is an integer number (431222400).

Almost surely, 2^45288888528 is an apocalyptic number.

45288888528 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 45288888528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68995584000).

45288888528 is an abundant number, since it is smaller than the sum of its proper divisors (92702279472).

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

45288888528 is a wasteful number, since it uses less digits than its factorization.

45288888528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1044 counting only the distinct ones).

The product of its digits is 104857600, while the sum is 66.

The spelling of 45288888528 in words is "forty-five billion, two hundred eighty-eight million, eight hundred eighty-eight thousand, five hundred twenty-eight".