231778314432 has 1008 divisors, whose sum is σ = 858331918080. Its totient is φ = 60711026688.

The previous prime is 231778314421. The next prime is 231778314433. The reversal of 231778314432 is 234413877132.

231778314432 is a `hidden beast` number, since 2 + 3 + 177 + 8 + 31 + 443 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (231778314433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1667469819 + ... + 1667469957.

It is an arithmetic number, because the mean of its divisors is an integer number (851519760).

Almost surely, 2^231778314432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231778314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429165959040).

231778314432 is an abundant number, since it is smaller than the sum of its proper divisors (626553603648).

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

231778314432 is a wasteful number, since it uses less digits than its factorization.

231778314432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 221 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 231778314432 in words is "two hundred thirty-one billion, seven hundred seventy-eight million, three hundred fourteen thousand, four hundred thirty-two".