45168144 has 80 divisors (see below), whose sum is σ = 134277120. Its totient is φ = 12816000.

The previous prime is 45168143. The next prime is 45168161. The reversal of 45168144 is 44186154.

It is a super-2 number, since 2×45168144² = 4080322464809472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45168143) 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, 59769 + ... + 60519.

It is an arithmetic number, because the mean of its divisors is an integer number (1678464).

Almost surely, 2^45168144 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 45168144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67138560).

45168144 is an abundant number, since it is smaller than the sum of its proper divisors (89108976).

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

45168144 is a wasteful number, since it uses less digits than its factorization.

45168144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 942 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 45168144 is about 6720.7249608952. The cubic root of 45168144 is about 356.1317948246.

It can be divided in two parts, 451681 and 44, that added together give a triangular number (451725 = T₉₅₀).

The spelling of 45168144 in words is "forty-five million, one hundred sixty-eight thousand, one hundred forty-four".