238956714432000 has 480 divisors, whose sum is σ = 861225636379680. Its totient is φ = 63681192345600.

The previous prime is 238956714431999. The next prime is 238956714432001. The reversal of 238956714432000 is 234417659832.

238956714432000 is a `hidden beast` number, since 2 + 3 + 8 + 9 + 567 + 1 + 44 + 32 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (238956714431999) and next prime (238956714432001).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×238956714432000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238956714432001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 909372634 + ... + 909635366.

It is an arithmetic number, because the mean of its divisors is an integer number (1794220075791).

It is a 1-persistent number, because it is pandigital, but 2⋅238956714432000 = 477913428864000 is not.

Almost surely, 2^{238956714432000} is an apocalyptic number.

238956714432000 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 238956714432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430612818189840).

238956714432000 is an abundant number, since it is smaller than the sum of its proper divisors (622268921947680).

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

238956714432000 is a wasteful number, since it uses less digits than its factorization.

238956714432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264351 (or 264322 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 238956714432000 in words is "two hundred thirty-eight trillion, nine hundred fifty-six billion, seven hundred fourteen million, four hundred thirty-two thousand".