231752416896 has 1024 divisors, whose sum is σ = 948429619200. Its totient is φ = 53747712000.

The previous prime is 231752416891. The next prime is 231752416901. The reversal of 231752416896 is 698614257132.

It is a happy number.

231752416896 is a `hidden beast` number, since 2 + 3 + 17 + 524 + 16 + 8 + 96 = 666.

231752416896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (231752416891) and next prime (231752416901).

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

It is not an unprimeable number, because it can be changed into a prime (231752416891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 107242056 + ... + 107244216.

It is an arithmetic number, because the mean of its divisors is an integer number (926200800).

Almost surely, 2^231752416896 is an apocalyptic number.

231752416896 is a gapful number since it is divisible by the number (26) 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 231752416896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474214809600).

231752416896 is an abundant number, since it is smaller than the sum of its proper divisors (716677202304).

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

231752416896 is a wasteful number, since it uses less digits than its factorization.

231752416896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 2228 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 231752416896 in words is "two hundred thirty-one billion, seven hundred fifty-two million, four hundred sixteen thousand, eight hundred ninety-six".