238392830108160 has 1920 divisors, whose sum is σ = 1055562014707200. Its totient is φ = 50213453561856.

The previous prime is 238392830108129. The next prime is 238392830108183. The reversal of 238392830108160 is 61801038293832.

238392830108160 is a `hidden beast` number, since 2 + 3 + 8 + 392 + 83 + 0 + 10 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×238392830108160² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 238392830108097 and 238392830108106.

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, 36965856616 + ... + 36965863064.

It is an arithmetic number, because the mean of its divisors is an integer number (549771882660).

Almost surely, 2^{238392830108160} is an apocalyptic number.

238392830108160 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 238392830108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527781007353600).

238392830108160 is an abundant number, since it is smaller than the sum of its proper divisors (817169184599040).

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

238392830108160 is an equidigital number, since it uses as much as digits as its factorization.

238392830108160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7160 (or 7132 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 238392830108160 in words is "two hundred thirty-eight trillion, three hundred ninety-two billion, eight hundred thirty million, one hundred eight thousand, one hundred sixty".