238093916577984 has 392 divisors, whose sum is σ = 725823969520608. Its totient is φ = 77410873774080.

The previous prime is 238093916577983. The next prime is 238093916577991. The reversal of 238093916577984 is 489775619390832.

238093916577984 is a `hidden beast` number, since 2 + 3 + 8 + 0 + 9 + 39 + 1 + 6 + 577 + 9 + 8 + 4 = 666.

It is a super-2 number, since 2×238093916577984² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (238093916577983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10017824469 + ... + 10017848235.

It is a 1-persistent number, because it is pandigital, but 2⋅238093916577984 = 476187833155968 is not.

Almost surely, 2^{238093916577984} is an apocalyptic number.

238093916577984 is a gapful number since it is divisible by the number (24) 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 238093916577984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362911984760304).

238093916577984 is an abundant number, since it is smaller than the sum of its proper divisors (487730052942624).

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

238093916577984 is an equidigital number, since it uses as much as digits as its factorization.

238093916577984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29075 (or 29050 counting only the distinct ones).

The product of its (nonzero) digits is 4938071040, while the sum is 81.

The spelling of 238093916577984 in words is "two hundred thirty-eight trillion, ninety-three billion, nine hundred sixteen million, five hundred seventy-seven thousand, nine hundred eighty-four".