238492800000 has 1782 divisors, whose sum is σ = 1084224905946. Its totient is φ = 50319360000.

The previous prime is 238492799959. The next prime is 238492800043. The reversal of 238492800000 is 8294832.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 210042556416 + 28450243584 = 458304^2 + 168672^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 18345599994 + ... + 18345600006.

Almost surely, 2^238492800000 is an apocalyptic number.

238492800000 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 238492800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542112452973).

238492800000 is an abundant number, since it is smaller than the sum of its proper divisors (845732105946).

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

238492800000 is an equidigital number, since it uses as much as digits as its factorization.

238492800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 238492800000 in words is "two hundred thirty-eight billion, four hundred ninety-two million, eight hundred thousand".