230449689117648 has 1920 divisors, whose sum is σ = 1007553012480000. Its totient is φ = 49265331978240.

The previous prime is 230449689117643. The next prime is 230449689117671. The reversal of 230449689117648 is 846711986944032.

230449689117648 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 496 + 8 + 91 + 1 + 7 + 6 + 48 = 666.

It is a super-2 number, since 2×230449689117648² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230449689117643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 977610903 + ... + 977846601.

It is an arithmetic number, because the mean of its divisors is an integer number (524767194000).

Almost surely, 2^{230449689117648} is an apocalyptic number.

230449689117648 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 230449689117648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503776506240000).

230449689117648 is an abundant number, since it is smaller than the sum of its proper divisors (777103323362352).

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

230449689117648 is a wasteful number, since it uses less digits than its factorization.

230449689117648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235790 (or 235771 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 230449689117648 in words is "two hundred thirty trillion, four hundred forty-nine billion, six hundred eighty-nine million, one hundred seventeen thousand, six hundred forty-eight".