45225168 has 80 divisors (see below), whose sum is σ = 130259520. Its totient is φ = 13436928.

The previous prime is 45225163. The next prime is 45225197. The reversal of 45225168 is 86152254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45225161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14046 + ... + 16962.

It is an arithmetic number, because the mean of its divisors is an integer number (1628244).

Almost surely, 2^45225168 is an apocalyptic number.

45225168 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 45225168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65129760).

45225168 is an abundant number, since it is smaller than the sum of its proper divisors (85034352).

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

45225168 is a wasteful number, since it uses less digits than its factorization.

45225168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964 (or 2958 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 45225168 is about 6724.9660222190. The cubic root of 45225168 is about 356.2816018750.

The spelling of 45225168 in words is "forty-five million, two hundred twenty-five thousand, one hundred sixty-eight".