268333718016 has 960 divisors, whose sum is σ = 973217710080. Its totient is φ = 63793889280.

The previous prime is 268333717969. The next prime is 268333718063. The reversal of 268333718016 is 610817333862.

It is an interprime number because it is at equal distance from previous prime (268333717969) and next prime (268333718063).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1404888481 + ... + 1404888671.

It is an arithmetic number, because the mean of its divisors is an integer number (1013768448).

Almost surely, 2^268333718016 is an apocalyptic number.

268333718016 is a gapful number since it is divisible by the number (26) 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 268333718016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486608855040).

268333718016 is an abundant number, since it is smaller than the sum of its proper divisors (704883992064).

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

268333718016 is a wasteful number, since it uses less digits than its factorization.

268333718016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 268333718016 in words is "two hundred sixty-eight billion, three hundred thirty-three million, seven hundred eighteen thousand, sixteen".