268491135144960 has 4224 divisors, whose sum is σ = 1232954647142400. Its totient is φ = 54511359492096.

The previous prime is 268491135144959. The next prime is 268491135144979. The reversal of 268491135144960 is 69441531194862.

268491135144960 is a `hidden beast` number, since 2 + 6 + 8 + 4 + 9 + 1 + 13 + 514 + 49 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 448232278741 + ... + 448232279339.

Almost surely, 2^{268491135144960} is an apocalyptic number.

268491135144960 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 268491135144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616477323571200).

268491135144960 is an abundant number, since it is smaller than the sum of its proper divisors (964463511997440).

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

268491135144960 is a wasteful number, since it uses less digits than its factorization.

268491135144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 268491135144960 in words is "two hundred sixty-eight trillion, four hundred ninety-one billion, one hundred thirty-five million, one hundred forty-four thousand, nine hundred sixty".