238229468064 has 720 divisors, whose sum is σ = 868799530368. Its totient is φ = 62676550656.

The previous prime is 238229468051. The next prime is 238229468093. The reversal of 238229468064 is 460864922832.

238229468064 is a `hidden beast` number, since 23 + 82 + 29 + 468 + 0 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 238229468064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 242348917 + ... + 242349899.

Almost surely, 2^238229468064 is an apocalyptic number.

238229468064 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 238229468064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434399765184).

238229468064 is an abundant number, since it is smaller than the sum of its proper divisors (630570062304).

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

238229468064 is a wasteful number, since it uses less digits than its factorization.

238229468064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 238229468064 in words is "two hundred thirty-eight billion, two hundred twenty-nine million, four hundred sixty-eight thousand, sixty-four".