238264346880 has 576 divisors, whose sum is σ = 972050526720. Its totient is φ = 54136111104.

The previous prime is 238264346849. The next prime is 238264346897. The reversal of 238264346880 is 88643462832.

238264346880 is a `hidden beast` number, since 2 + 38 + 264 + 346 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 41849314 + ... + 41855006.

It is an arithmetic number, because the mean of its divisors is an integer number (1687587720).

Almost surely, 2^238264346880 is an apocalyptic number.

238264346880 is a gapful number since it is divisible by the number (20) 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 238264346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486025263360).

238264346880 is an abundant number, since it is smaller than the sum of its proper divisors (733786179840).

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

238264346880 is a wasteful number, since it uses less digits than its factorization.

238264346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5903 (or 5883 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 238264346880 in words is "two hundred thirty-eight billion, two hundred sixty-four million, three hundred forty-six thousand, eight hundred eighty".