123565456 has 45 divisors (see below), whose sum is σ = 279198369. Its totient is φ = 52823232.

The previous prime is 123565451. The next prime is 123565457. The reversal of 123565456 is 654565321.

The square root of 123565456 is 11116.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 82810000 + 40755456 = 9100^2 + 6384^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123565451) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 311050 + ... + 311446.

Almost surely, 2^123565456 is an apocalyptic number.

123565456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

123565456 is the 11116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123565456

123565456 is an abundant number, since it is smaller than the sum of its proper divisors (155632913).

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

123565456 is an frugal number, since it uses more digits than its factorization.

123565456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 406 counting only the distinct ones).

The product of its digits is 108000, while the sum is 37.

The cubic root of 123565456 is about 498.0799106187.

The spelling of 123565456 in words is "one hundred twenty-three million, five hundred sixty-five thousand, four hundred fifty-six".