238325552594640 has 2560 divisors, whose sum is σ = 1042858967040000. Its totient is φ = 48805609881600.

The previous prime is 238325552594617. The next prime is 238325552594653. The reversal of 238325552594640 is 46495255523832.

238325552594640 is a `hidden beast` number, since 2 + 3 + 8 + 3 + 25 + 5 + 525 + 9 + 46 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 78165151836 + ... + 78165154884.

It is an arithmetic number, because the mean of its divisors is an integer number (407366784000).

Almost surely, 2^{238325552594640} is an apocalyptic number.

238325552594640 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 238325552594640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521429483520000).

238325552594640 is an abundant number, since it is smaller than the sum of its proper divisors (804533414445360).

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

238325552594640 is a wasteful number, since it uses less digits than its factorization.

238325552594640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326 (or 3314 counting only the distinct ones).

The product of its (nonzero) digits is 311040000, while the sum is 63.

The spelling of 238325552594640 in words is "two hundred thirty-eight trillion, three hundred twenty-five billion, five hundred fifty-two million, five hundred ninety-four thousand, six hundred forty".