45145216 has 48 divisors (see below), whose sum is σ = 95017590. Its totient is φ = 21362688.

The previous prime is 45145213. The next prime is 45145229. The reversal of 45145216 is 61254154.

It can be written as a sum of positive squares in only one way, i.e., 28302400 + 16842816 = 5320^2 + 4104^2 .

It is not an unprimeable number, because it can be changed into a prime (45145213) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45720 + ... + 46696.

Almost surely, 2^45145216 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 45145216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47508795).

45145216 is an abundant number, since it is smaller than the sum of its proper divisors (49872374).

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

45145216 is an equidigital number, since it uses as much as digits as its factorization.

45145216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 998 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

The square root of 45145216 is about 6719.0189760113. The cubic root of 45145216 is about 356.0715254173.

It can be divided in two parts, 4514 and 5216, that added together give a triangular number (9730 = T₁₃₉).

The spelling of 45145216 in words is "forty-five million, one hundred forty-five thousand, two hundred sixteen".