468705913641 has 45 divisors (see below), whose sum is σ = 814553335629. Its totient is φ = 267807304296.

The previous prime is 468705913619. The next prime is 468705913721. The reversal of 468705913641 is 146319507864.

The square root of 468705913641 is 684621.

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

468705913641 is a `hidden beast` number, since 4 + 6 + 8 + 7 + 0 + 591 + 3 + 6 + 41 = 666.

It is not a de Polignac number, because 468705913641 - 2⁹ = 468705913129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (468705913441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 43125690 + ... + 43136556.

Almost surely, 2^468705913641 is an apocalyptic number.

468705913641 is the 684621-st square number.

468705913641 is the 342311-st centered octagonal number.

It is an amenable number.

468705913641 is a deficient number, since it is larger than the sum of its proper divisors (345847421988).

468705913641 is an frugal number, since it uses more digits than its factorization.

468705913641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21760 (or 10877 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 468705913641 in words is "four hundred sixty-eight billion, seven hundred five million, nine hundred thirteen thousand, six hundred forty-one".