230201033032320 has 128 divisors (see below), whose sum is σ = 838589477523840. Its totient is φ = 52617378975744.

The previous prime is 230201033032319. The next prime is 230201033032403. The reversal of 230201033032320 is 23230330102032.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×230201033032320³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8564013087 + ... + 8564039966.

It is an arithmetic number, because the mean of its divisors is an integer number (6551480293155).

Almost surely, 2^{230201033032320} is an apocalyptic number.

230201033032320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230201033032320 is an abundant number, since it is smaller than the sum of its proper divisors (608388444491520).

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

230201033032320 is a wasteful number, since it uses less digits than its factorization.

230201033032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17128053082 (or 17128053070 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 230201033032320 its reverse (23230330102032), we get a palindrome (253431363134352).

The spelling of 230201033032320 in words is "two hundred thirty trillion, two hundred one billion, thirty-three million, thirty-two thousand, three hundred twenty".