4993146666225 has 81 divisors (see below), whose sum is σ = 8990899530379. Its totient is φ = 2648907170400.

The previous prime is 4993146666187. The next prime is 4993146666229. The reversal of 4993146666225 is 5226666413994.

The square root of 4993146666225 is 2234535.

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

It can be written as a sum of positive squares in only one way, i.e., 1797532799841 + 3195613866384 = 1340721^2 + 1787628^2 .

It is not a de Polignac number, because 4993146666225 - 2¹³ = 4993146658033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4993146666229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10424105536 + ... + 10424106014.

Almost surely, 2^{4993146666225} is an apocalyptic number.

4993146666225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4993146666225 is the 2234535-th square number.

4993146666225 is the 1117268-th centered octagonal number.

It is an amenable number.

4993146666225 is a deficient number, since it is larger than the sum of its proper divisors (3997752864154).

4993146666225 is an frugal number, since it uses more digits than its factorization.

4993146666225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 798 counting only the distinct ones).

The product of its digits is 100776960, while the sum is 63.

The spelling of 4993146666225 in words is "four trillion, nine hundred ninety-three billion, one hundred forty-six million, six hundred sixty-six thousand, two hundred twenty-five".