238511386306816 has 432 divisors, whose sum is σ = 596691490429440. Its totient is φ = 94674079825920.

The previous prime is 238511386306783. The next prime is 238511386306841. The reversal of 238511386306816 is 618603683115832.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 955514761 + ... + 955764343.

It is an arithmetic number, because the mean of its divisors is an integer number (1381230301920).

Almost surely, 2^{238511386306816} 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 238511386306816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298345745214720).

238511386306816 is an abundant number, since it is smaller than the sum of its proper divisors (358180104122624).

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

238511386306816 is a wasteful number, since it uses less digits than its factorization.

238511386306816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249750 (or 249729 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 61.

The spelling of 238511386306816 in words is "two hundred thirty-eight trillion, five hundred eleven billion, three hundred eighty-six million, three hundred six thousand, eight hundred sixteen".