238867701600000 has 864 divisors, whose sum is σ = 870665278855680. Its totient is φ = 57652992000000.

The previous prime is 238867701599993. The next prime is 238867701600097. The reversal of 238867701600000 is 6107768832.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6045580245 + ... + 6045619755.

It is an arithmetic number, because the mean of its divisors is an integer number (1007714443120).

Almost surely, 2^{238867701600000} is an apocalyptic number.

238867701600000 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 238867701600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435332639427840).

238867701600000 is an abundant number, since it is smaller than the sum of its proper divisors (631797577255680).

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

238867701600000 is an equidigital number, since it uses as much as digits as its factorization.

238867701600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39795 (or 39761 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 238867701600000 in words is "two hundred thirty-eight trillion, eight hundred sixty-seven billion, seven hundred one million, six hundred thousand".