238292806752 has 1152 divisors, whose sum is σ = 941613603840. Its totient is φ = 55509442560.

The previous prime is 238292806727. The next prime is 238292806777. The reversal of 238292806752 is 257608292832.

238292806752 is a `hidden beast` number, since 238 + 29 + 280 + 67 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (238292806727) and next prime (238292806777).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3264284988 + ... + 3264285060.

It is an arithmetic number, because the mean of its divisors is an integer number (817372920).

Almost surely, 2^238292806752 is an apocalyptic number.

238292806752 is a gapful number since it is divisible by the number (22) 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 238292806752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470806801920).

238292806752 is an abundant number, since it is smaller than the sum of its proper divisors (703320797088).

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

238292806752 is a wasteful number, since it uses less digits than its factorization.

238292806752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 238292806752 in words is "two hundred thirty-eight billion, two hundred ninety-two million, eight hundred six thousand, seven hundred fifty-two".