230407680064 has 63 divisors (see below), whose sum is σ = 473753916727. Its totient is φ = 111177532928.

The previous prime is 230407680029. The next prime is 230407680077. The reversal of 230407680064 is 460086704032.

It is a happy number.

The square root of 230407680064 is 480008.

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

It can be written as a sum of positive squares in 4 ways, for example, as 27691622464 + 202716057600 = 166408^2 + 450240^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 230407679999 and 230407680026.

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, 111360822 + ... + 111362890.

Almost surely, 2^230407680064 is an apocalyptic number.

230407680064 is the 480008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230407680064

230407680064 is an abundant number, since it is smaller than the sum of its proper divisors (243346236663).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230407680064 is an frugal number, since it uses more digits than its factorization.

230407680064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4208 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 230407680064 in words is "two hundred thirty billion, four hundred seven million, six hundred eighty thousand, sixty-four".