468538881001 has 9 divisors (see below), whose sum is σ = 473924134903. Its totient is φ = 463214163280.

The previous prime is 468538880983. The next prime is 468538881049. The reversal of 468538881001 is 100188835864.

The square root of 468538881001 is 684499.

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., 89969402601 + 378569478400 = 299949^2 + 615280^2 .

It is not a de Polignac number, because 468538881001 - 2²¹ = 468536783849 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 468538881001.

It is not an unprimeable number, because it can be changed into a prime (468538881301) 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, 60916566 + ... + 60924256.

Almost surely, 2^468538881001 is an apocalyptic number.

468538881001 is the 684499-th square number.

468538881001 is the 342250-th centered octagonal number.

It is an amenable number.

468538881001 is a deficient number, since it is larger than the sum of its proper divisors (5385253902).

468538881001 is an frugal number, since it uses more digits than its factorization.

468538881001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15560 (or 7780 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 52.

The spelling of 468538881001 in words is "four hundred sixty-eight billion, five hundred thirty-eight million, eight hundred eighty-one thousand, one".