268016692992 has 144 divisors (see below), whose sum is σ = 732625115040. Its totient is φ = 86931865600.

The previous prime is 268016692949. The next prime is 268016692997. The reversal of 268016692992 is 299296610862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268016692997) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12237892 + ... + 12259772.

It is an arithmetic number, because the mean of its divisors is an integer number (5087674410).

Almost surely, 2^268016692992 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 268016692992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366312557520).

268016692992 is an abundant number, since it is smaller than the sum of its proper divisors (464608422048).

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

268016692992 is a wasteful number, since it uses less digits than its factorization.

268016692992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22330 (or 22316 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 60.

The spelling of 268016692992 in words is "two hundred sixty-eight billion, sixteen million, six hundred ninety-two thousand, nine hundred ninety-two".