238287775264448 has 224 divisors, whose sum is σ = 608804996158464. Its totient is φ = 89941949779968.

The previous prime is 238287775264433. The next prime is 238287775264601. The reversal of 238287775264448 is 844462577782832.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×238287775264448² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 50938511 + ... + 55419377.

It is an arithmetic number, because the mean of its divisors is an integer number (2717879447136).

Almost surely, 2^{238287775264448} is an apocalyptic number.

238287775264448 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 238287775264448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304402498079232).

238287775264448 is an abundant number, since it is smaller than the sum of its proper divisors (370517220894016).

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

238287775264448 is a wasteful number, since it uses less digits than its factorization.

238287775264448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4481319 (or 4481309 counting only the distinct ones).

The product of its digits is 8092385280, while the sum is 77.

The spelling of 238287775264448 in words is "two hundred thirty-eight trillion, two hundred eighty-seven billion, seven hundred seventy-five million, two hundred sixty-four thousand, four hundred forty-eight".