230444272290144 has 384 divisors, whose sum is σ = 733934890967040. Its totient is φ = 62449947648000.

The previous prime is 230444272290139. The next prime is 230444272290149. The reversal of 230444272290144 is 441092272444032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (230444272290139) and next prime (230444272290149).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 230444272290093 and 230444272290102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230444272290149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60499227 + ... + 64195365.

It is an arithmetic number, because the mean of its divisors is an integer number (1911288778560).

Almost surely, 2^{230444272290144} is an apocalyptic number.

230444272290144 is a gapful number since it is divisible by the number (24) 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 230444272290144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366967445483520).

230444272290144 is an abundant number, since it is smaller than the sum of its proper divisors (503490618676896).

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

230444272290144 is a wasteful number, since it uses less digits than its factorization.

230444272290144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696354 (or 3696346 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 48.

The spelling of 230444272290144 in words is "two hundred thirty trillion, four hundred forty-four billion, two hundred seventy-two million, two hundred ninety thousand, one hundred forty-four".