238949512704 has 960 divisors, whose sum is σ = 869384355840. Its totient is φ = 64049356800.

The previous prime is 238949512693. The next prime is 238949512723. The reversal of 238949512704 is 407215949832.

238949512704 is a `hidden beast` number, since 2 + 3 + 89 + 49 + 512 + 7 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1582447029 + ... + 1582447179.

It is an arithmetic number, because the mean of its divisors is an integer number (905608704).

Almost surely, 2^238949512704 is an apocalyptic number.

238949512704 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 238949512704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434692177920).

238949512704 is an abundant number, since it is smaller than the sum of its proper divisors (630434843136).

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

238949512704 is an equidigital number, since it uses as much as digits as its factorization.

238949512704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 265 counting only the distinct ones).

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

The spelling of 238949512704 in words is "two hundred thirty-eight billion, nine hundred forty-nine million, five hundred twelve thousand, seven hundred four".