123268578944256 has 216 divisors, whose sum is σ = 359164238593160. Its totient is φ = 40656955097088.

The previous prime is 123268578944167. The next prime is 123268578944263. The reversal of 123268578944256 is 652449875862321.

123268578944256 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 6 + 8 + 57 + 89 + 442 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22516771193856 + 100751807750400 = 4745184^2 + 10037520^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183747870 + ... + 184417506.

Almost surely, 2^{123268578944256} is an apocalyptic number.

123268578944256 is a gapful number since it is divisible by the number (16) 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 123268578944256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179582119296580).

123268578944256 is an abundant number, since it is smaller than the sum of its proper divisors (235895659648904).

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

123268578944256 is a wasteful number, since it uses less digits than its factorization.

123268578944256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670501 (or 670484 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 123268578944256 in words is "one hundred twenty-three trillion, two hundred sixty-eight billion, five hundred seventy-eight million, nine hundred forty-four thousand, two hundred fifty-six".