238235361135408 has 280 divisors, whose sum is σ = 851759921632928. Its totient is φ = 62831303755776.

The previous prime is 238235361135403. The next prime is 238235361135491. The reversal of 238235361135408 is 804531163532832.

238235361135408 is a `hidden beast` number, since 2 + 3 + 8 + 2 + 35 + 3 + 61 + 1 + 3 + 540 + 8 = 666.

It is a super-2 number, since 2×238235361135408² (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (238235361135403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 111162985 + ... + 113285832.

Almost surely, 2^{238235361135408} is an apocalyptic number.

238235361135408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

238235361135408 is an abundant number, since it is smaller than the sum of its proper divisors (613524560497520).

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

238235361135408 is a wasteful number, since it uses less digits than its factorization.

238235361135408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224448863 (or 224448842 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 238235361135408 in words is "two hundred thirty-eight trillion, two hundred thirty-five billion, three hundred sixty-one million, one hundred thirty-five thousand, four hundred eight".