268748001984 has 224 divisors, whose sum is σ = 887457240576. Its totient is φ = 69730836480.

The previous prime is 268748001959. The next prime is 268748002021. The reversal of 268748001984 is 489100847862.

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

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, 14730532 + ... + 14748764.

Almost surely, 2^268748001984 is an apocalyptic number.

268748001984 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 268748001984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443728620288).

268748001984 is an abundant number, since it is smaller than the sum of its proper divisors (618709238592).

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

268748001984 is a wasteful number, since it uses less digits than its factorization.

268748001984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19263 (or 19253 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 57.

The spelling of 268748001984 in words is "two hundred sixty-eight billion, seven hundred forty-eight million, one thousand, nine hundred eighty-four".