268161779119104 has 1232 divisors, whose sum is σ = 896502889572864. Its totient is φ = 79578862387200.

The previous prime is 268161779119021. The next prime is 268161779119109. The reversal of 268161779119104 is 401911977161862.

268161779119104 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 617 + 7 + 9 + 1 + 1 + 9 + 1 + 0 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268161779119109) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 99577339582 + ... + 99577342274.

Almost surely, 2^{268161779119104} is an apocalyptic number.

268161779119104 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 268161779119104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448251444786432).

268161779119104 is an abundant number, since it is smaller than the sum of its proper divisors (628341110453760).

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

268161779119104 is a wasteful number, since it uses less digits than its factorization.

268161779119104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 63.

The spelling of 268161779119104 in words is "two hundred sixty-eight trillion, one hundred sixty-one billion, seven hundred seventy-nine million, one hundred nineteen thousand, one hundred four".