4977114782900 has 72 divisors (see below), whose sum is σ = 11632464146520. Its totient is φ = 1837493821440.

The previous prime is 4977114782873. The next prime is 4977114782947. The reversal of 4977114782900 is 92874117794.

It can be written as a sum of positive squares in 12 ways, for example, as 4709498939044 + 267615843856 = 2170138^2 + 517316^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4977114782900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11393312 + ... + 11822088.

It is an arithmetic number, because the mean of its divisors is an integer number (161562002035).

Almost surely, 2^{4977114782900} is an apocalyptic number.

It is an amenable number.

4977114782900 is an abundant number, since it is smaller than the sum of its proper divisors (6655349363620).

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

4977114782900 is a wasteful number, since it uses less digits than its factorization.

4977114782900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437733 (or 437726 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 59.

The spelling of 4977114782900 in words is "four trillion, nine hundred seventy-seven billion, one hundred fourteen million, seven hundred eighty-two thousand, nine hundred".