268442199016992 has 3840 divisors, whose sum is σ = 1147212664012800. Its totient is φ = 59279426519040.

The previous prime is 268442199016967. The next prime is 268442199016997. The reversal of 268442199016992 is 299610991244862.

268442199016992 is a `hidden beast` number, since 2 + 6 + 8 + 442 + 1 + 9 + 90 + 1 + 6 + 9 + 92 = 666.

It is a super-2 number, since 2×268442199016992² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 268442199016992.

It is not an unprimeable number, because it can be changed into a prime (268442199016997) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 331819775884 + ... + 331819776692.

It is an arithmetic number, because the mean of its divisors is an integer number (298753297920).

Almost surely, 2^{268442199016992} is an apocalyptic number.

268442199016992 is a gapful number since it is divisible by the number (22) 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 268442199016992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573606332006400).

268442199016992 is an abundant number, since it is smaller than the sum of its proper divisors (878770464995808).

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

268442199016992 is a wasteful number, since it uses less digits than its factorization.

268442199016992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 268442199016992 in words is "two hundred sixty-eight trillion, four hundred forty-two billion, one hundred ninety-nine million, sixteen thousand, nine hundred ninety-two".