238932611424000 has 1728 divisors, whose sum is σ = 933620323184640. Its totient is φ = 58325181235200.

The previous prime is 238932611423981. The next prime is 238932611424029. The reversal of 238932611424000 is 424116239832.

238932611424000 is a `hidden beast` number, since 2 + 3 + 8 + 9 + 3 + 2 + 611 + 4 + 24 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 349828127659 + ... + 349828128341.

It is an arithmetic number, because the mean of its divisors is an integer number (540289538880).

Almost surely, 2^{238932611424000} is an apocalyptic number.

238932611424000 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 238932611424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466810161592320).

238932611424000 is an abundant number, since it is smaller than the sum of its proper divisors (694687711760640).

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

238932611424000 is a wasteful number, since it uses less digits than its factorization.

238932611424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 238932611424000 in words is "two hundred thirty-eight trillion, nine hundred thirty-two billion, six hundred eleven million, four hundred twenty-four thousand".