238123111824 has 600 divisors, whose sum is σ = 816075482112. Its totient is φ = 66701905920.

The previous prime is 238123111741. The next prime is 238123111861. The reversal of 238123111824 is 428111321832.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 115424617 + ... + 115426679.

Almost surely, 2^238123111824 is an apocalyptic number.

238123111824 is a gapful number since it is divisible by the number (24) 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 238123111824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408037741056).

238123111824 is an abundant number, since it is smaller than the sum of its proper divisors (577952370288).

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

238123111824 is a wasteful number, since it uses less digits than its factorization.

238123111824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2129 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The spelling of 238123111824 in words is "two hundred thirty-eight billion, one hundred twenty-three million, one hundred eleven thousand, eight hundred twenty-four".