233871484425768 has 512 divisors, whose sum is σ = 781454573568000. Its totient is φ = 63361182044160.

The previous prime is 233871484425739. The next prime is 233871484425869. The reversal of 233871484425768 is 867524484178332.

233871484425768 is a `hidden beast` number, since 2 + 3 + 3 + 8 + 7 + 1 + 4 + 8 + 4 + 42 + 576 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 233871484425696 and 233871484425705.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5692914988 + ... + 5692956068.

It is an arithmetic number, because the mean of its divisors is an integer number (1526278464000).

Almost surely, 2^{233871484425768} is an apocalyptic number.

233871484425768 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 233871484425768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390727286784000).

233871484425768 is an abundant number, since it is smaller than the sum of its proper divisors (547583089142232).

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

233871484425768 is a wasteful number, since it uses less digits than its factorization.

233871484425768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42542 (or 42532 counting only the distinct ones).

The product of its digits is 1734082560, while the sum is 72.

The spelling of 233871484425768 in words is "two hundred thirty-three trillion, eight hundred seventy-one billion, four hundred eighty-four million, four hundred twenty-five thousand, seven hundred sixty-eight".