230461164032 has 80 divisors (see below), whose sum is σ = 502525425600. Its totient is φ = 104715018240.

The previous prime is 230461164029. The next prime is 230461164149.

230461164032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×230461164032² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 230461164032.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18686444 + ... + 18698772.

It is an arithmetic number, because the mean of its divisors is an integer number (6281567820).

Almost surely, 2^230461164032 is an apocalyptic number.

230461164032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230461164032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251262712800).

230461164032 is an abundant number, since it is smaller than the sum of its proper divisors (272064261568).

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

230461164032 is a wasteful number, since it uses less digits than its factorization.

230461164032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15677 (or 15661 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 230461 and 164032, that added together give a palindrome (394493).

The spelling of 230461164032 in words is "two hundred thirty billion, four hundred sixty-one million, one hundred sixty-four thousand, thirty-two".