238043920464 has 480 divisors, whose sum is σ = 811613577216. Its totient is φ = 63687306240.

The previous prime is 238043920463. The next prime is 238043920481. The reversal of 238043920464 is 464029340832.

238043920464 is a `hidden beast` number, since 2 + 3 + 8 + 0 + 439 + 204 + 6 + 4 = 666.

238043920464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238043920463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 262451499 + ... + 262452405.

Almost surely, 2^238043920464 is an apocalyptic number.

238043920464 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 238043920464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405806788608).

238043920464 is an abundant number, since it is smaller than the sum of its proper divisors (573569656752).

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

238043920464 is a wasteful number, since it uses less digits than its factorization.

238043920464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 238043920464 in words is "two hundred thirty-eight billion, forty-three million, nine hundred twenty thousand, four hundred sixty-four".