231323012522784 has 1152 divisors, whose sum is σ = 903761626360320. Its totient is φ = 54313854566400.

The previous prime is 231323012522773. The next prime is 231323012522827. The reversal of 231323012522784 is 487225210323132.

It is a happy number.

231323012522784 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 2 + 30 + 12 + 522 + 7 + 84 = 666.

It is a super-2 number, since 2×231323012522784² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5595465954 + ... + 5595507294.

It is an arithmetic number, because the mean of its divisors is an integer number (784515300660).

Almost surely, 2^{231323012522784} is an apocalyptic number.

231323012522784 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 231323012522784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451880813180160).

231323012522784 is an abundant number, since it is smaller than the sum of its proper divisors (672438613837536).

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

231323012522784 is a wasteful number, since it uses less digits than its factorization.

231323012522784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42074 (or 42063 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 231323012522784 in words is "two hundred thirty-one trillion, three hundred twenty-three billion, twelve million, five hundred twenty-two thousand, seven hundred eighty-four".