238693808618496 has 2112 divisors, whose sum is σ = 916896694272000. Its totient is φ = 59217835622400.

The previous prime is 238693808618477. The next prime is 238693808618497. The reversal of 238693808618496 is 694816808396832.

It is a happy number.

238693808618496 is a `hidden beast` number, since 2 + 3 + 8 + 6 + 9 + 38 + 0 + 86 + 18 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238693808618497) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 85156548231 + ... + 85156551033.

Almost surely, 2^{238693808618496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238693808618496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458448347136000).

238693808618496 is an abundant number, since it is smaller than the sum of its proper divisors (678202885653504).

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

238693808618496 is a wasteful number, since it uses less digits than its factorization.

238693808618496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 5159780352, while the sum is 81.

The spelling of 238693808618496 in words is "two hundred thirty-eight trillion, six hundred ninety-three billion, eight hundred eight million, six hundred eighteen thousand, four hundred ninety-six".