230989377024 has 560 divisors, whose sum is σ = 796472772480. Its totient is φ = 65527418880.

The previous prime is 230989377023. The next prime is 230989377107. The reversal of 230989377024 is 420773989032.

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 (230989377023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 551287087 + ... + 551287505.

It is an arithmetic number, because the mean of its divisors is an integer number (1422272808).

Almost surely, 2^230989377024 is an apocalyptic number.

230989377024 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 230989377024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398236386240).

230989377024 is an abundant number, since it is smaller than the sum of its proper divisors (565483395456).

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

230989377024 is an frugal number, since it uses more digits than its factorization.

230989377024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 230989377024 in words is "two hundred thirty billion, nine hundred eighty-nine million, three hundred seventy-seven thousand, twenty-four".