238363818120 has 256 divisors, whose sum is σ = 798753312000. Its totient is φ = 63228211200.

The previous prime is 238363818107. The next prime is 238363818137. The reversal of 238363818120 is 21818363832.

238363818120 is a `hidden beast` number, since 2 + 3 + 8 + 3 + 638 + 1 + 8 + 1 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 270560080 + ... + 270560960.

It is an arithmetic number, because the mean of its divisors is an integer number (3120130125).

Almost surely, 2^238363818120 is an apocalyptic number.

238363818120 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 238363818120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399376656000).

238363818120 is an abundant number, since it is smaller than the sum of its proper divisors (560389493880).

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

238363818120 is a wasteful number, since it uses less digits than its factorization.

238363818120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 238363818120 in words is "two hundred thirty-eight billion, three hundred sixty-three million, eight hundred eighteen thousand, one hundred twenty".