5016614448400 has 135 divisors (see below), whose sum is σ = 12289927273869. Its totient is φ = 1967852789760.

The previous prime is 5016614448379. The next prime is 5016614448413. The reversal of 5016614448400 is 48444166105.

The square root of 5016614448400 is 2239780.

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

It can be written as a sum of positive squares in 13 ways, for example, as 4947474901264 + 69139547136 = 2224292^2 + 262944^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2374165744 + ... + 2374167856.

Almost surely, 2^{5016614448400} is an apocalyptic number.

5016614448400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5016614448400 is the 2239780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5016614448400

5016614448400 is an abundant number, since it is smaller than the sum of its proper divisors (7273312825469).

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

5016614448400 is an frugal number, since it uses more digits than its factorization.

5016614448400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4350 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 5016614448400 in words is "five trillion, sixteen billion, six hundred fourteen million, four hundred forty-eight thousand, four hundred".