684175468201 has 9 divisors (see below), whose sum is σ = 715235453149. Its totient is φ = 654410511436.

The previous prime is 684175468177. The next prime is 684175468219. The reversal of 684175468201 is 102864571486.

The square root of 684175468201 is 827149.

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

It is not a de Polignac number, because 684175468201 - 2¹⁷ = 684175337129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (684175468231) 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, 19006446 + ... + 19042408.

Almost surely, 2^684175468201 is an apocalyptic number.

684175468201 is the 827149-th square number.

684175468201 is the 413575-th centered octagonal number.

It is an amenable number.

684175468201 is a deficient number, since it is larger than the sum of its proper divisors (31059984948).

684175468201 is an frugal number, since it uses more digits than its factorization.

684175468201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71972 (or 35986 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The spelling of 684175468201 in words is "six hundred eighty-four billion, one hundred seventy-five million, four hundred sixty-eight thousand, two hundred one".