4977338690025 has 243 divisors, whose sum is σ = 10269999667629. Its totient is φ = 2302815191040.

The previous prime is 4977338689993. The next prime is 4977338690039. The reversal of 4977338690025 is 5200968337794.

The square root of 4977338690025 is 2230995.

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

4977338690025 is a `hidden beast` number, since 497 + 7 + 3 + 38 + 6 + 90 + 0 + 25 = 666.

It can be written as a sum of positive squares in 40 ways, for example, as 4173934806441 + 803403883584 = 2043021^2 + 896328^2 .

It is not a de Polignac number, because 4977338690025 - 2⁵ = 4977338689993 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 7395748089 + ... + 7395748761.

Almost surely, 2^{4977338690025} is an apocalyptic number.

4977338690025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4977338690025 is the 2230995-th square number.

4977338690025 is the 1115498-th centered octagonal number.

It is an amenable number.

4977338690025 is an abundant number, since it is smaller than the sum of its proper divisors (5292660977604).

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

4977338690025 is a wasteful number, since it uses less digits than its factorization.

4977338690025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 4977338690025 in words is "four trillion, nine hundred seventy-seven billion, three hundred thirty-eight million, six hundred ninety thousand, twenty-five".