238972678963200 has 5472 divisors, whose sum is σ = 1168823057036544. Its totient is φ = 46965467381760.

The previous prime is 238972678963199. The next prime is 238972678963237. The reversal of 238972678963200 is 2369876279832.

It is a happy number.

238972678963200 is a `hidden beast` number, since 2 + 3 + 89 + 7 + 267 + 89 + 6 + 3 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2463635865552 + ... + 2463635865648.

Almost surely, 2^{238972678963200} is an apocalyptic number.

238972678963200 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 238972678963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584411528518272).

238972678963200 is an abundant number, since it is smaller than the sum of its proper divisors (929850378073344).

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

238972678963200 is an frugal number, since it uses more digits than its factorization.

238972678963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 238972678963200 in words is "two hundred thirty-eight trillion, nine hundred seventy-two billion, six hundred seventy-eight million, nine hundred sixty-three thousand, two hundred".