238225129204608 has 512 divisors, whose sum is σ = 868112739379200. Its totient is φ = 62627849256960.

The previous prime is 238225129204597. The next prime is 238225129204633. The reversal of 238225129204608 is 806402921522832.

238225129204608 is a `hidden beast` number, since 2 + 3 + 8 + 2 + 2 + 5 + 1 + 2 + 9 + 20 + 4 + 608 = 666.

It is a super-3 number, since 3×238225129204608³ (a number of 44 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97227213 + ... + 99647283.

It is an arithmetic number, because the mean of its divisors is an integer number (1695532694100).

Almost surely, 2^{238225129204608} is an apocalyptic number.

238225129204608 is a gapful number since it is divisible by the number (28) 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 238225129204608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434056369689600).

238225129204608 is an abundant number, since it is smaller than the sum of its proper divisors (629887610174592).

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

238225129204608 is a wasteful number, since it uses less digits than its factorization.

238225129204608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420427 (or 2420409 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 238225129204608 in words is "two hundred thirty-eight trillion, two hundred twenty-five billion, one hundred twenty-nine million, two hundred four thousand, six hundred eight".