688460170225 has 9 divisors (see below), whose sum is σ = 853695755467. Its totient is φ = 550764817240.

The previous prime is 688460170183. The next prime is 688460170253. The reversal of 688460170225 is 522071064886.

The square root of 688460170225 is 829735.

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., 247845661281 + 440614508944 = 497841^2 + 663788^2 .

It is not a de Polignac number, because 688460170225 - 2²¹ = 688458073073 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4065702 + ... + 4231648.

Almost surely, 2^688460170225 is an apocalyptic number.

688460170225 is the 829735-th square number.

688460170225 is the 414868-th centered octagonal number.

It is an amenable number.

688460170225 is a deficient number, since it is larger than the sum of its proper divisors (165235585242).

688460170225 is an frugal number, since it uses more digits than its factorization.

688460170225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331904 (or 165952 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

Multiplying 688460170225 by its sum of digits (49), we get a square (33734548341025 = 5808145²).

The spelling of 688460170225 in words is "six hundred eighty-eight billion, four hundred sixty million, one hundred seventy thousand, two hundred twenty-five".