4955503401216 has 189 divisors, whose sum is σ = 14833568282449. Its totient is φ = 1651513909248.

The previous prime is 4955503401161. The next prime is 4955503401217. The reversal of 4955503401216 is 6121043055594.

It is a happy number.

The square root of 4955503401216 is 2226096.

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

4955503401216 is a `hidden beast` number, since 4 + 95 + 5 + 5 + 0 + 340 + 1 + 216 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3129502521600 + 1826000879616 = 1769040^2 + 1351296^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4955503401217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 961670896 + ... + 961676048.

Almost surely, 2^{4955503401216} is an apocalyptic number.

4955503401216 is the 2226096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4955503401216

4955503401216 is an abundant number, since it is smaller than the sum of its proper divisors (9878064881233).

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

4955503401216 is an frugal number, since it uses more digits than its factorization.

4955503401216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10340 (or 5158 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 4955503401216 in words is "four trillion, nine hundred fifty-five billion, five hundred three million, four hundred one thousand, two hundred sixteen".