4745181168 has 540 divisors, whose sum is σ = 17771284440. Its totient is φ = 1171279872.

The previous prime is 4745181139. The next prime is 4745181187. The reversal of 4745181168 is 8611815474.

4745181168 is a `hidden beast` number, since 4 + 74 + 518 + 1 + 1 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 26509303 + ... + 26509481.

It is an arithmetic number, because the mean of its divisors is an integer number (32909786).

Almost surely, 2^4745181168 is an apocalyptic number.

4745181168 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 4745181168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8885642220).

4745181168 is an abundant number, since it is smaller than the sum of its proper divisors (13026103272).

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

4745181168 is a wasteful number, since it uses less digits than its factorization.

4745181168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 221 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 4745181168 is about 68885.2754077386. The cubic root of 4745181168 is about 1680.4190621264.

The spelling of 4745181168 in words is "four billion, seven hundred forty-five million, one hundred eighty-one thousand, one hundred sixty-eight".