238312836720 has 960 divisors, whose sum is σ = 1064406873600. Its totient is φ = 48562053120.

The previous prime is 238312836659. The next prime is 238312836743. The reversal of 238312836720 is 27638213832.

238312836720 is a `hidden beast` number, since 238 + 31 + 2 + 8 + 367 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 34182835 + ... + 34189805.

It is an arithmetic number, because the mean of its divisors is an integer number (1108757160).

Almost surely, 2^238312836720 is an apocalyptic number.

238312836720 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 238312836720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532203436800).

238312836720 is an abundant number, since it is smaller than the sum of its proper divisors (826094036880).

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

238312836720 is a wasteful number, since it uses less digits than its factorization.

238312836720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7043 (or 7024 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 238312836720 in words is "two hundred thirty-eight billion, three hundred twelve million, eight hundred thirty-six thousand, seven hundred twenty".