45341856 has 288 divisors, whose sum is σ = 165110400. Its totient is φ = 12192768.

The previous prime is 45341843. The next prime is 45341867. The reversal of 45341856 is 65814354.

It is a happy number.

45341856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45341856.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2667160 + ... + 2667176.

It is an arithmetic number, because the mean of its divisors is an integer number (573300).

Almost surely, 2^45341856 is an apocalyptic number.

45341856 is the 3888-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45341856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

45341856 is an abundant number, since it is smaller than the sum of its proper divisors (119768544).

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

45341856 is an equidigital number, since it uses as much as digits as its factorization.

45341856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 29 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 45341856 is about 6733.6361648072. The cubic root of 45341856 is about 356.5877594486.

The spelling of 45341856 in words is "forty-five million, three hundred forty-one thousand, eight hundred fifty-six".