268242048000 has 528 divisors, whose sum is σ = 1023565078224. Its totient is φ = 67318579200.

The previous prime is 268242047993. The next prime is 268242048023. The reversal of 268242048000 is 840242862.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 130500117504 + 137741930496 = 361248^2 + 371136^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19577152 + ... + 19590848.

Almost surely, 2^268242048000 is an apocalyptic number.

268242048000 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 268242048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511782539112).

268242048000 is an abundant number, since it is smaller than the sum of its proper divisors (755323030224).

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

268242048000 is a wasteful number, since it uses less digits than its factorization.

268242048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13755 (or 13724 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 268242048000 in words is "two hundred sixty-eight billion, two hundred forty-two million, forty-eight thousand".