45387168 has 48 divisors (see below), whose sum is σ = 119530656. Its totient is φ = 15079680.

The previous prime is 45387151. The next prime is 45387179. The reversal of 45387168 is 86178354.

It is a Cunningham number, because it is equal to 6737²-1.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 39855 + ... + 40977.

It is an arithmetic number, because the mean of its divisors is an integer number (2490222).

Almost surely, 2^45387168 is an apocalyptic number.

45387168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45387168 is an abundant number, since it is smaller than the sum of its proper divisors (74143488).

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

45387168 is a wasteful number, since it uses less digits than its factorization.

45387168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1549 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 45387168 is about 6736.9999257830. Note that the first 4 decimals coincide. The cubic root of 45387168 is about 356.7065042215.

The spelling of 45387168 in words is "forty-five million, three hundred eighty-seven thousand, one hundred sixty-eight".