238811961696 has 864 divisors, whose sum is σ = 836301957120. Its totient is φ = 59410391040.

The previous prime is 238811961683. The next prime is 238811961697. The reversal of 238811961696 is 696169118832.

238811961696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (6718464) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238811961697) 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 143 ways as a sum of consecutive naturals, for example, 2113380136 + ... + 2113380248.

It is an arithmetic number, because the mean of its divisors is an integer number (967942080).

Almost surely, 2^238811961696 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 238811961696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418150978560).

238811961696 is an abundant number, since it is smaller than the sum of its proper divisors (597489995424).

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

238811961696 is a wasteful number, since it uses less digits than its factorization.

238811961696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 262 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 60.

The spelling of 238811961696 in words is "two hundred thirty-eight billion, eight hundred eleven million, nine hundred sixty-one thousand, six hundred ninety-six".