238350794760 has 192 divisors, whose sum is σ = 837555526080. Its totient is φ = 58436928000.

The previous prime is 238350794753. The next prime is 238350794821. The reversal of 238350794760 is 67497053832.

238350794760 is a `hidden beast` number, since 2 + 38 + 3 + 507 + 9 + 47 + 60 = 666.

It is a super-2 number, since 2×238350794760² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 238350794697 and 238350794706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1073227 + ... + 1276133.

It is an arithmetic number, because the mean of its divisors is an integer number (4362268365).

Almost surely, 2^238350794760 is an apocalyptic number.

238350794760 is a gapful number since it is divisible by the number (20) 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 238350794760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418777763040).

238350794760 is an abundant number, since it is smaller than the sum of its proper divisors (599204731320).

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

238350794760 is a wasteful number, since it uses less digits than its factorization.

238350794760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203188 (or 203181 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 238350794760 in words is "two hundred thirty-eight billion, three hundred fifty million, seven hundred ninety-four thousand, seven hundred sixty".