468360928161 has 243 divisors, whose sum is σ = 880497760467. Its totient is φ = 248343822720.

The previous prime is 468360928117. The next prime is 468360928163. The reversal of 468360928161 is 161829063864.

The square root of 468360928161 is 684369.

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

468360928161 is a `hidden beast` number, since 4 + 6 + 8 + 3 + 609 + 28 + 1 + 6 + 1 = 666.

468360928161 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 364640861025 + 103720067136 = 603855^2 + 322056^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 468360928161 - 2²¹ = 468358831009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 468360928098 and 468360928107.

It is not an unprimeable number, because it can be changed into a prime (468360928163) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 6596632756 + ... + 6596632826.

Almost surely, 2^468360928161 is an apocalyptic number.

468360928161 is the 684369-th square number.

468360928161 is the 342185-th centered octagonal number.

It is an amenable number.

468360928161 is a deficient number, since it is larger than the sum of its proper divisors (412136832306).

468360928161 is an frugal number, since it uses more digits than its factorization.

468360928161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 468360928161 in words is "four hundred sixty-eight billion, three hundred sixty million, nine hundred twenty-eight thousand, one hundred sixty-one".