238405628160 has 2016 divisors, whose sum is σ = 1100245628160. Its totient is φ = 48157949952.

The previous prime is 238405628159. The next prime is 238405628161. The reversal of 238405628160 is 61826504832.

238405628160 is a `hidden beast` number, since 2 + 3 + 8 + 4 + 0 + 5 + 628 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (238405628159) and next prime (238405628161).

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238405628161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2109784264 + ... + 2109784376.

It is an arithmetic number, because the mean of its divisors is an integer number (545756760).

Almost surely, 2^238405628160 is an apocalyptic number.

238405628160 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 238405628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550122814080).

238405628160 is an abundant number, since it is smaller than the sum of its proper divisors (861840000000).

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

238405628160 is a wasteful number, since it uses less digits than its factorization.

238405628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 238405628160 in words is "two hundred thirty-eight billion, four hundred five million, six hundred twenty-eight thousand, one hundred sixty".