268748681436 has 192 divisors, whose sum is σ = 743815833600. Its totient is φ = 84715632000.

The previous prime is 268748681431. The next prime is 268748681459. The reversal of 268748681436 is 634186847862.

268748681436 is a `hidden beast` number, since 2 + 6 + 8 + 7 + 486 + 8 + 143 + 6 = 666.

It is a super-2 number, since 2×268748681436² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268748681431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124824136 + ... + 124826288.

It is an arithmetic number, because the mean of its divisors is an integer number (3874040800).

Almost surely, 2^268748681436 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 268748681436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371907916800).

268748681436 is an abundant number, since it is smaller than the sum of its proper divisors (475067152164).

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

268748681436 is a wasteful number, since it uses less digits than its factorization.

268748681436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2928 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 63.

The spelling of 268748681436 in words is "two hundred sixty-eight billion, seven hundred forty-eight million, six hundred eighty-one thousand, four hundred thirty-six".