238320746496 has 864 divisors, whose sum is σ = 872411904000. Its totient is φ = 62426972160.

The previous prime is 238320746491. The next prime is 238320746513. The reversal of 238320746496 is 694647023832.

238320746496 is a `hidden beast` number, since 2 + 3 + 83 + 2 + 0 + 74 + 6 + 496 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238320746491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7687766001 + ... + 7687766031.

It is an arithmetic number, because the mean of its divisors is an integer number (1009736000).

Almost surely, 2^238320746496 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 238320746496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436205952000).

238320746496 is an abundant number, since it is smaller than the sum of its proper divisors (634091157504).

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

238320746496 is an frugal number, since it uses more digits than its factorization.

238320746496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 238320746496 in words is "two hundred thirty-eight billion, three hundred twenty million, seven hundred forty-six thousand, four hundred ninety-six".