238399868160 has 864 divisors, whose sum is σ = 882335589408. Its totient is φ = 59348090880.

The previous prime is 238399868153. The next prime is 238399868167. The reversal of 238399868160 is 61868993832.

238399868160 is a `hidden beast` number, since 2 + 3 + 8 + 399 + 86 + 8 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (238399868153) and next prime (238399868167).

It can be written as a sum of positive squares in 16 ways, for example, as 7953785856 + 230446082304 = 89184^2 + 480048^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238399868167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1378033834 + ... + 1378034006.

It is an arithmetic number, because the mean of its divisors is an integer number (1021221747).

Almost surely, 2^238399868160 is an apocalyptic number.

238399868160 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 238399868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441167794704).

238399868160 is an abundant number, since it is smaller than the sum of its proper divisors (643935721248).

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

238399868160 is a wasteful number, since it uses less digits than its factorization.

238399868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 238399868160 in words is "two hundred thirty-eight billion, three hundred ninety-nine million, eight hundred sixty-eight thousand, one hundred sixty".