45433890288 has 120 divisors (see below), whose sum is σ = 131644141200. Its totient is φ = 14610419712.

The previous prime is 45433890263. The next prime is 45433890301. The reversal of 45433890288 is 88209833454.

45433890288 is a `hidden beast` number, since 4 + 543 + 3 + 8 + 90 + 2 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6089056 + ... + 6096512.

It is an arithmetic number, because the mean of its divisors is an integer number (1097034510).

Almost surely, 2^45433890288 is an apocalyptic number.

45433890288 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 45433890288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65822070600).

45433890288 is an abundant number, since it is smaller than the sum of its proper divisors (86210250912).

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

45433890288 is a wasteful number, since it uses less digits than its factorization.

45433890288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8959 (or 8950 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 45433890288 in words is "forty-five billion, four hundred thirty-three million, eight hundred ninety thousand, two hundred eighty-eight".