268162348827744 has 2304 divisors, whose sum is σ = 985060164501504. Its totient is φ = 70115569920000.

The previous prime is 268162348827731. The next prime is 268162348827839. The reversal of 268162348827744 is 447728843261862.

268162348827744 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 6 + 2 + 348 + 8 + 277 + 4 + 4 = 666.

It is a super-2 number, since 2×268162348827744² (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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 989528962329 + ... + 989528962599.

It is an arithmetic number, because the mean of its divisors is an integer number (427543474176).

Almost surely, 2^{268162348827744} is an apocalyptic number.

268162348827744 is a gapful number since it is divisible by the number (24) 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 268162348827744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492530082250752).

268162348827744 is an abundant number, since it is smaller than the sum of its proper divisors (716897815673760).

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

268162348827744 is a wasteful number, since it uses less digits than its factorization.

268162348827744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 671 counting only the distinct ones).

The product of its digits is 1387266048, while the sum is 72.

The spelling of 268162348827744 in words is "two hundred sixty-eight trillion, one hundred sixty-two billion, three hundred forty-eight million, eight hundred twenty-seven thousand, seven hundred forty-four".