238824618912 has 96 divisors (see below), whose sum is σ = 759896544960. Its totient is φ = 72371093760.

The previous prime is 238824618899. The next prime is 238824618913. The reversal of 238824618912 is 219816428832.

238824618912 is a `hidden beast` number, since 2 + 3 + 8 + 8 + 2 + 4 + 618 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (238824618913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12554923 + ... + 12573930.

It is an arithmetic number, because the mean of its divisors is an integer number (7915589010).

Almost surely, 2^238824618912 is an apocalyptic number.

238824618912 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

238824618912 is an abundant number, since it is smaller than the sum of its proper divisors (521071926048).

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

238824618912 is a wasteful number, since it uses less digits than its factorization.

238824618912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25128883 (or 25128869 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 238824618912 in words is "two hundred thirty-eight billion, eight hundred twenty-four million, six hundred eighteen thousand, nine hundred twelve".