238749257384064 has 192 divisors, whose sum is σ = 785205084805440. Its totient is φ = 68211234736128.

The previous prime is 238749257384059. The next prime is 238749257384147. The reversal of 238749257384064 is 460483752947832.

238749257384064 is a `hidden beast` number, since 2 + 3 + 8 + 7 + 4 + 9 + 2 + 573 + 8 + 40 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 238749257383983 and 238749257384001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197101287 + ... + 198308889.

It is an arithmetic number, because the mean of its divisors is an integer number (4089609816695).

Almost surely, 2^{238749257384064} is an apocalyptic number.

238749257384064 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 238749257384064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392602542402720).

238749257384064 is an abundant number, since it is smaller than the sum of its proper divisors (546455827421376).

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

238749257384064 is a wasteful number, since it uses less digits than its factorization.

238749257384064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232147 (or 1232132 counting only the distinct ones).

The product of its (nonzero) digits is 1950842880, while the sum is 72.

The spelling of 238749257384064 in words is "two hundred thirty-eight trillion, seven hundred forty-nine billion, two hundred fifty-seven million, three hundred eighty-four thousand, sixty-four".