123625372816 has 135 divisors (see below), whose sum is σ = 269724264537. Its totient is φ = 54850224000.

The previous prime is 123625372813. The next prime is 123625372817. The reversal of 123625372816 is 618273526321.

The square root of 123625372816 is 351604.

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., 4020067216 + 119605305600 = 63404^2 + 345840^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123625372813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 943705071 + ... + 943705201.

Almost surely, 2^123625372816 is an apocalyptic number.

123625372816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

123625372816 is the 351604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123625372816

123625372816 is an abundant number, since it is smaller than the sum of its proper divisors (146098891721).

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

123625372816 is an equidigital number, since it uses as much as digits as its factorization.

123625372816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 205 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The spelling of 123625372816 in words is "one hundred twenty-three billion, six hundred twenty-five million, three hundred seventy-two thousand, eight hundred sixteen".