238171207680000 has 6000 divisors, whose sum is σ = 1141499019386880. Its totient is φ = 48157949952000.

The previous prime is 238171207679953. The next prime is 238171207680031. The reversal of 238171207680000 is 86702171832.

238171207680000 is a `hidden beast` number, since 2 + 381 + 7 + 1 + 207 + 68 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6000).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 399 ways as a sum of consecutive naturals, for example, 1875363839937 + ... + 1875363840063.

Almost surely, 2^{238171207680000} is an apocalyptic number.

238171207680000 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 238171207680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570749509693440).

238171207680000 is an abundant number, since it is smaller than the sum of its proper divisors (903327811706880).

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

238171207680000 is an equidigital number, since it uses as much as digits as its factorization.

238171207680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 238171207680000 in words is "two hundred thirty-eight trillion, one hundred seventy-one billion, two hundred seven million, six hundred eighty thousand".