230461262564 has 96 divisors (see below), whose sum is σ = 459502304352. Its totient is φ = 100403712000.

The previous prime is 230461262557. The next prime is 230461262599. The reversal of 230461262564 is 465262164032.

It can be written as a sum of positive squares in 16 ways, for example, as 169159464100 + 61301798464 = 411290^2 + 247592^2 .

It is a super-2 number, since 2×230461262564² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14269934 + ... + 14286074.

It is an arithmetic number, because the mean of its divisors is an integer number (4786482337).

Almost surely, 2^230461262564 is an apocalyptic number.

It is an amenable number.

230461262564 is a deficient number, since it is larger than the sum of its proper divisors (229041041788).

230461262564 is a wasteful number, since it uses less digits than its factorization.

230461262564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16417 (or 16415 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 230461262564 in words is "two hundred thirty billion, four hundred sixty-one million, two hundred sixty-two thousand, five hundred sixty-four".