230145101541032 has 16 divisors (see below), whose sum is σ = 432083212430100. Its totient is φ = 114922911559680.

The previous prime is 230145101541001. The next prime is 230145101541037.

230145101541032 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 228091366057636 + 2053735483396 = 15102694^2 + 1433086^2 .

It is a super-2 number, since 2×230145101541032² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 230145101541032.

It is not an unprimeable number, because it can be changed into a prime (230145101541037) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18704894819 + ... + 18704907122.

Almost surely, 2^{230145101541032} is an apocalyptic number.

It is an amenable number.

230145101541032 is a deficient number, since it is larger than the sum of its proper divisors (201938110889068).

230145101541032 is a wasteful number, since it uses less digits than its factorization.

230145101541032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37409802716 (or 37409802712 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

It can be divided in two parts, 23014510 and 1541032, that added together give a palindrome (24555542).

The spelling of 230145101541032 in words is "two hundred thirty trillion, one hundred forty-five billion, one hundred one million, five hundred forty-one thousand, thirty-two".