468992128900 has 27 divisors (see below), whose sum is σ = 1017727780741. Its totient is φ = 187594112240.

The previous prime is 468992128837. The next prime is 468992128901. The reversal of 468992128900 is 9821299864.

The square root of 468992128900 is 684830.

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

It can be written as a sum of positive squares in only one way, i.e., 168837166404 + 300154962496 = 410898^2 + 547864^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (468992128901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6814059 + ... + 6882541.

Almost surely, 2^468992128900 is an apocalyptic number.

468992128900 is the 684830-th square number.

It is an amenable number.

468992128900 is an abundant number, since it is smaller than the sum of its proper divisors (548735651841).

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

468992128900 is an frugal number, since it uses more digits than its factorization.

468992128900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136980 (or 68490 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 58.

The spelling of 468992128900 in words is "four hundred sixty-eight billion, nine hundred ninety-two million, one hundred twenty-eight thousand, nine hundred".