723456128889 has 48 divisors (see below), whose sum is σ = 1135631624400. Its totient is φ = 441160957440.

The previous prime is 723456128873. The next prime is 723456128893. The reversal of 723456128889 is 988821654327.

723456128889 is a `hidden beast` number, since 7 + 2 + 3 + 4 + 5 + 612 + 8 + 8 + 8 + 9 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 487155141225 + 236300987664 = 697965^2 + 486108^2 .

It is not a de Polignac number, because 723456128889 - 2⁴ = 723456128873 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (723456128089) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7290007 + ... + 7388579.

It is an arithmetic number, because the mean of its divisors is an integer number (23658992175).

Almost surely, 2^723456128889 is an apocalyptic number.

It is an amenable number.

723456128889 is a deficient number, since it is larger than the sum of its proper divisors (412175495511).

723456128889 is a wasteful number, since it uses less digits than its factorization.

723456128889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99162 (or 99159 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 723456128889 in words is "seven hundred twenty-three billion, four hundred fifty-six million, one hundred twenty-eight thousand, eight hundred eighty-nine".