230223822732288 has 3168 divisors, whose sum is σ = 903557874745344. Its totient is φ = 57250271232000.

The previous prime is 230223822732283. The next prime is 230223822732307. The reversal of 230223822732288 is 882237228322032.

230223822732288 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 238 + 2 + 2 + 7 + 322 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-3 number, since 3×230223822732288³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230223822732283) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1091108164503 + ... + 1091108164713.

Almost surely, 2^{230223822732288} is an apocalyptic number.

230223822732288 is a gapful number since it is divisible by the number (28) 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 230223822732288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451778937372672).

230223822732288 is an abundant number, since it is smaller than the sum of its proper divisors (673334052013056).

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

230223822732288 is a wasteful number, since it uses less digits than its factorization.

230223822732288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 230223822732288 in words is "two hundred thirty trillion, two hundred twenty-three billion, eight hundred twenty-two million, seven hundred thirty-two thousand, two hundred eighty-eight".