123363648 has 140 divisors (see below), whose sum is σ = 373418100. Its totient is φ = 40255488.

The previous prime is 123363623. The next prime is 123363659. The reversal of 123363648 is 846363321.

123363648 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 6 + 3 + 648 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82301184 + 41062464 = 9072^2 + 6408^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 274528 + ... + 274976.

Almost surely, 2^123363648 is an apocalyptic number.

123363648 is a gapful number since it is divisible by the number (18) 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 123363648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186709050).

123363648 is an abundant number, since it is smaller than the sum of its proper divisors (250054452).

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

123363648 is an equidigital number, since it uses as much as digits as its factorization.

123363648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 507 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 123363648 is about 11106.9189247063. The cubic root of 123363648 is about 497.8086069578.

The spelling of 123363648 in words is "one hundred twenty-three million, three hundred sixty-three thousand, six hundred forty-eight".