268645701292816 has 160 divisors (see below), whose sum is σ = 553357082880000. Its totient is φ = 125991387118080.

The previous prime is 268645701292811. The next prime is 268645701292841. The reversal of 268645701292816 is 618292107546862.

It is not an unprimeable number, because it can be changed into a prime (268645701292811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49869256875 + ... + 49869262261.

It is an arithmetic number, because the mean of its divisors is an integer number (3458481768000).

Almost surely, 2^{268645701292816} 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 268645701292816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276678541440000).

268645701292816 is an abundant number, since it is smaller than the sum of its proper divisors (284711381587184).

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

268645701292816 is a wasteful number, since it uses less digits than its factorization.

268645701292816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9357 (or 9351 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 67.

The spelling of 268645701292816 in words is "two hundred sixty-eight trillion, six hundred forty-five billion, seven hundred one million, two hundred ninety-two thousand, eight hundred sixteen".