4498116624 has 195 divisors, whose sum is σ = 13665731023. Its totient is φ = 1434182112.

The previous prime is 4498116619. The next prime is 4498116629. The reversal of 4498116624 is 4266118944.

The square root of 4498116624 is 67068.

It is a perfect power (a square), and thus also a powerful number.

4498116624 is a `hidden beast` number, since 4 + 4 + 9 + 8 + 1 + 16 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (4498116619) and next prime (4498116629).

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4498116624.

It is not an unprimeable number, because it can be changed into a prime (4498116629) 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 38 ways as a sum of consecutive naturals, for example, 195570277 + ... + 195570299.

Almost surely, 2^4498116624 is an apocalyptic number.

4498116624 is the 67068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4498116624

4498116624 is an abundant number, since it is smaller than the sum of its proper divisors (9167614399).

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

4498116624 is an frugal number, since it uses more digits than its factorization.

4498116624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 28 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The cubic root of 4498116624 is about 1650.7332674728.

The spelling of 4498116624 in words is "four billion, four hundred ninety-eight million, one hundred sixteen thousand, six hundred twenty-four".