268280016016044 has 192 divisors, whose sum is σ = 663644441940480. Its totient is φ = 84206304000000.

The previous prime is 268280016016027. The next prime is 268280016016109. The reversal of 268280016016044 is 440610610082862.

It is a junction number, because it is equal to n+sod(n) for n = 268280016015984 and 268280016016002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31558637794 + ... + 31558646294.

It is an arithmetic number, because the mean of its divisors is an integer number (3456481468440).

Almost surely, 2^{268280016016044} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268280016016044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331822220970240).

268280016016044 is an abundant number, since it is smaller than the sum of its proper divisors (395364425924436).

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

268280016016044 is a wasteful number, since it uses less digits than its factorization.

268280016016044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11552 (or 11550 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 268280016016044 in words is "two hundred sixty-eight trillion, two hundred eighty billion, sixteen million, sixteen thousand, forty-four".