4511324160 has 864 divisors, whose sum is σ = 19371577680. Its totient is φ = 1003290624.

The previous prime is 4511324137. The next prime is 4511324161. The reversal of 4511324160 is 614231154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4511324161) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 121927662 + ... + 121927698.

Almost surely, 2^4511324160 is an apocalyptic number.

4511324160 is a gapful number since it is divisible by the number (40) 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 4511324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9685788840).

4511324160 is an abundant number, since it is smaller than the sum of its proper divisors (14860253520).

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

4511324160 is an equidigital number, since it uses as much as digits as its factorization.

4511324160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4511324160 is about 67166.3915957974. The cubic root of 4511324160 is about 1652.3473367147.

The spelling of 4511324160 in words is "four billion, five hundred eleven million, three hundred twenty-four thousand, one hundred sixty".