4514745600 has 324 divisors, whose sum is σ = 16744824096. Its totient is φ = 1203517440.

The previous prime is 4514745589. The next prime is 4514745659. The reversal of 4514745600 is 65474154.

4514745600 is a `hidden beast` number, since 4 + 5 + 1 + 4 + 7 + 45 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1553749 + ... + 1556651.

Almost surely, 2^4514745600 is an apocalyptic number.

4514745600 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 4514745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8372412048).

4514745600 is an abundant number, since it is smaller than the sum of its proper divisors (12230078496).

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

4514745600 is an equidigital number, since it uses as much as digits as its factorization.

4514745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 4514745600 is about 67191.8566494482. The cubic root of 4514745600 is about 1652.7649508837.

The spelling of 4514745600 in words is "four billion, five hundred fourteen million, seven hundred forty-five thousand, six hundred".