268435448000 has 224 divisors, whose sum is σ = 687748379136. Its totient is φ = 103680000000.

The previous prime is 268435447963. The next prime is 268435448023. The reversal of 268435448000 is 844534862.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149047100 + ... + 149048900.

It is an arithmetic number, because the mean of its divisors is an integer number (3070305264).

Almost surely, 2^268435448000 is an apocalyptic number.

268435448000 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 268435448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343874189568).

268435448000 is an abundant number, since it is smaller than the sum of its proper divisors (419312931136).

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

268435448000 is a wasteful number, since it uses less digits than its factorization.

268435448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 44.

The spelling of 268435448000 in words is "two hundred sixty-eight billion, four hundred thirty-five million, four hundred forty-eight thousand".