323670611759104 has 117 divisors (see below), whose sum is σ = 661437339756841. Its totient is φ = 158365518970880.

The previous prime is 323670611759081. The next prime is 323670611759111. The reversal of 323670611759104 is 401957116076323.

The square root of 323670611759104 is 17990848.

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., 8707503919104 + 314963107840000 = 2950848^2 + 17747200^2 .

It is a super-2 number, since 2×323670611759104² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54116467794 + ... + 54116473774.

Almost surely, 2^{323670611759104} is an apocalyptic number.

323670611759104 is the 17990848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323670611759104

323670611759104 is an abundant number, since it is smaller than the sum of its proper divisors (337766727997737).

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

323670611759104 is an frugal number, since it uses more digits than its factorization.

323670611759104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12080 (or 6030 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 55.

The spelling of 323670611759104 in words is "three hundred twenty-three trillion, six hundred seventy billion, six hundred eleven million, seven hundred fifty-nine thousand, one hundred four".