123555456 has 160 divisors (see below), whose sum is σ = 389883780. Its totient is φ = 38707200.

The previous prime is 123555449. The next prime is 123555521. The reversal of 123555456 is 654555321.

It can be written as a sum of positive squares in 2 ways, for example, as 108993600 + 14561856 = 10440^2 + 3816^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 123555456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 175906 + ... + 176606.

Almost surely, 2^123555456 is an apocalyptic number.

123555456 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 123555456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194941890).

123555456 is an abundant number, since it is smaller than the sum of its proper divisors (266328324).

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

123555456 is an equidigital number, since it uses as much as digits as its factorization.

123555456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 723 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 123555456 is about 11115.5501888121. The cubic root of 123555456 is about 498.0664739252.

The spelling of 123555456 in words is "one hundred twenty-three million, five hundred fifty-five thousand, four hundred fifty-six".