268378970112 has 384 divisors, whose sum is σ = 870131808000. Its totient is φ = 81059512320.

The previous prime is 268378970021. The next prime is 268378970149. The reversal of 268378970112 is 211079873862.

It is a happy number.

268378970112 is a `hidden beast` number, since 268 + 378 + 9 + 7 + 0 + 1 + 1 + 2 = 666.

268378970112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263374339 + ... + 263375357.

It is an arithmetic number, because the mean of its divisors is an integer number (2265968250).

Almost surely, 2^268378970112 is an apocalyptic number.

268378970112 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 268378970112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435065904000).

268378970112 is an abundant number, since it is smaller than the sum of its proper divisors (601752837888).

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

268378970112 is a wasteful number, since it uses less digits than its factorization.

268378970112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 268378970112 in words is "two hundred sixty-eight billion, three hundred seventy-eight million, nine hundred seventy thousand, one hundred twelve".