4786468840000 has 105 divisors (see below), whose sum is σ = 11869972226607. Its totient is φ = 1914412512000.

The previous prime is 4786468839953. The next prime is 4786468840003. The reversal of 4786468840000 is 488646874.

The square root of 4786468840000 is 2187800.

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

It can be written as a sum of positive squares in 2 ways, for example, as 375259157056 + 4411209682944 = 612584^2 + 2100288^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4786468840003) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 437554531 + ... + 437565469.

Almost surely, 2^{4786468840000} is an apocalyptic number.

4786468840000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4786468840000 is the 2187800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4786468840000

4786468840000 is an abundant number, since it is smaller than the sum of its proper divisors (7083503386607).

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

4786468840000 is an frugal number, since it uses more digits than its factorization.

4786468840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21910 (or 10946 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 55.

The spelling of 4786468840000 in words is "four trillion, seven hundred eighty-six billion, four hundred sixty-eight million, eight hundred forty thousand".