238827969408 has 320 divisors, whose sum is σ = 760184453520. Its totient is φ = 66382848000.

The previous prime is 238827969361. The next prime is 238827969431. The reversal of 238827969408 is 804969728832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34109908 + ... + 34116908.

Almost surely, 2^238827969408 is an apocalyptic number.

238827969408 is a gapful number since it is divisible by the number (28) 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 238827969408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380092226760).

238827969408 is an abundant number, since it is smaller than the sum of its proper divisors (521356484112).

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

238827969408 is an frugal number, since it uses more digits than its factorization.

238827969408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7083 (or 7050 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 66.

It can be divided in two parts, 238827 and 969408, that added together give a triangular number (1208235 = T₁₅₅₄).

The spelling of 238827969408 in words is "two hundred thirty-eight billion, eight hundred twenty-seven million, nine hundred sixty-nine thousand, four hundred eight".