5505046416 has 135 divisors (see below), whose sum is σ = 16068394641. Its totient is φ = 1827002304.

The previous prime is 5505046381. The next prime is 5505046447. The reversal of 5505046416 is 6146405055.

The square root of 5505046416 is 74196.

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

5505046416 is a `hidden beast` number, since 5 + 5 + 0 + 5 + 0 + 4 + 641 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5127132816 + 377913600 = 71604^2 + 19440^2 .

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

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 26 ways as a sum of consecutive naturals, for example, 24039390 + ... + 24039618.

Almost surely, 2^5505046416 is an apocalyptic number.

5505046416 is the 74196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5505046416

5505046416 is an abundant number, since it is smaller than the sum of its proper divisors (10563348225).

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

5505046416 is an frugal number, since it uses more digits than its factorization.

5505046416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The cubic root of 5505046416 is about 1765.7138694908.

Multiplying 5505046416 by its sum of digits (36), we get a square (198181670976 = 445176²).

5505046416 divided by its sum of digits (36) gives a square (152917956 = 12366²).

The spelling of 5505046416 in words is "five billion, five hundred five million, forty-six thousand, four hundred sixteen".