4978730928249 has 135 divisors (see below), whose sum is σ = 8139941355273. Its totient is φ = 3045037887216.

The previous prime is 4978730928239. The next prime is 4978730928293. The reversal of 4978730928249 is 9428290378794.

The square root of 4978730928249 is 2231307.

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

4978730928249 is a `hidden beast` number, since 4 + 9 + 78 + 7 + 309 + 2 + 8 + 249 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2468534318649 + 2510196609600 = 1571157^2 + 1584360^2 .

It is not a de Polignac number, because 4978730928249 - 2¹¹ = 4978730926201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4978730928239) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 30544361442 + ... + 30544361604.

Almost surely, 2^{4978730928249} is an apocalyptic number.

4978730928249 is the 2231307-th square number.

4978730928249 is the 1115654-th centered octagonal number.

It is an amenable number.

4978730928249 is a deficient number, since it is larger than the sum of its proper divisors (3161210427024).

4978730928249 is an frugal number, since it uses more digits than its factorization.

4978730928249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 4978730928249 in words is "four trillion, nine hundred seventy-eight billion, seven hundred thirty million, nine hundred twenty-eight thousand, two hundred forty-nine".