4746602968900 has 81 divisors (see below), whose sum is σ = 11154059076951. Its totient is φ = 1752487289280.

The previous prime is 4746602968889. The next prime is 4746602968901. The reversal of 4746602968900 is 98692066474.

The square root of 4746602968900 is 2178670.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1223443936836 + 3523159032064 = 1106094^2 + 1877008^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4746602968901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 283218721 + ... + 283235479.

Almost surely, 2^{4746602968900} is an apocalyptic number.

4746602968900 is the 2178670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4746602968900

4746602968900 is an abundant number, since it is smaller than the sum of its proper divisors (6407456108051).

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

4746602968900 is an equidigital number, since it uses as much as digits as its factorization.

4746602968900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33558 (or 16779 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 61.

The spelling of 4746602968900 in words is "four trillion, seven hundred forty-six billion, six hundred two million, nine hundred sixty-eight thousand, nine hundred".