45118368 has 72 divisors (see below), whose sum is σ = 131469156. Its totient is φ = 14668800.

The previous prime is 45118351. The next prime is 45118397. The reversal of 45118368 is 86381154.

45118368 is a `hidden beast` number, since 4 + 511 + 83 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44997264 + 121104 = 6708^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9898 + ... + 13718.

Almost surely, 2^45118368 is an apocalyptic number.

45118368 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 45118368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65734578).

45118368 is an abundant number, since it is smaller than the sum of its proper divisors (86350788).

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

45118368 is a wasteful number, since it uses less digits than its factorization.

45118368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3878 (or 3867 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 45118368 is about 6717.0207681680. The cubic root of 45118368 is about 356.0009258066. Note that the first 3 decimals are identical.

The spelling of 45118368 in words is "forty-five million, one hundred eighteen thousand, three hundred sixty-eight".