45798816 has 192 divisors, whose sum is σ = 153861120. Its totient is φ = 11612160.

The previous prime is 45798791. The next prime is 45798817. The reversal of 45798816 is 61889754.

45798816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (45798817) 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 31 ways as a sum of consecutive naturals, for example, 216951 + ... + 217161.

It is an arithmetic number, because the mean of its divisors is an integer number (801360).

Almost surely, 2^45798816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45798816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76930560).

45798816 is an abundant number, since it is smaller than the sum of its proper divisors (108062304).

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

45798816 is a wasteful number, since it uses less digits than its factorization.

45798816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 259 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The square root of 45798816 is about 6767.4822496997. The cubic root of 45798816 is about 357.7816672745.

The spelling of 45798816 in words is "forty-five million, seven hundred ninety-eight thousand, eight hundred sixteen".