238706401796800 has 168 divisors, whose sum is σ = 677217006382176. Its totient is φ = 81117927260160.

The previous prime is 238706401796791. The next prime is 238706401796803. The reversal of 238706401796800 is 8697104607832.

It is a happy number.

It is a super-3 number, since 3×238706401796800³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (238706401796803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93040027 + ... + 95571226.

Almost surely, 2^{238706401796800} is an apocalyptic number.

238706401796800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238706401796800 is an abundant number, since it is smaller than the sum of its proper divisors (438510604585376).

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

238706401796800 is a wasteful number, since it uses less digits than its factorization.

238706401796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188611395 (or 188611380 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 61.

The spelling of 238706401796800 in words is "two hundred thirty-eight trillion, seven hundred six billion, four hundred one million, seven hundred ninety-six thousand, eight hundred".