238956367104 has 432 divisors, whose sum is σ = 870909416832. Its totient is φ = 61316186112.

The previous prime is 238956367007. The next prime is 238956367129. The reversal of 238956367104 is 401763659832.

238956367104 is a `hidden beast` number, since 2 + 3 + 8 + 9 + 563 + 6 + 71 + 0 + 4 = 666.

It is a super-3 number, since 3×238956367104³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7742167 + ... + 7772969.

It is a 1-persistent number, because it is pandigital, but 2⋅238956367104 = 477912734208 is not.

Almost surely, 2^238956367104 is an apocalyptic number.

238956367104 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 238956367104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435454708416).

238956367104 is an abundant number, since it is smaller than the sum of its proper divisors (631953049728).

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

238956367104 is a wasteful number, since it uses less digits than its factorization.

238956367104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30882 (or 30865 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 238956367104 in words is "two hundred thirty-eight billion, nine hundred fifty-six million, three hundred sixty-seven thousand, one hundred four".