320102408656836 has 405 divisors, whose sum is σ = 913817261402199. Its totient is φ = 97664748285312.

The previous prime is 320102408656781. The next prime is 320102408656837. The reversal of 320102408656836 is 638656804201023.

The square root of 320102408656836 is 17891406.

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

320102408656836 is a `hidden beast` number, since 3 + 2 + 0 + 1 + 0 + 2 + 40 + 8 + 6 + 568 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 103221414122436 + 216880994534400 = 10159794^2 + 14726880^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (320102408656837) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 657294473385 + ... + 657294473871.

Almost surely, 2^{320102408656836} is an apocalyptic number.

320102408656836 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

320102408656836 is the 17891406-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320102408656836

320102408656836 is an abundant number, since it is smaller than the sum of its proper divisors (593714852745363).

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

320102408656836 is an equidigital number, since it uses as much as digits as its factorization.

320102408656836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 320102408656836 in words is "three hundred twenty trillion, one hundred two billion, four hundred eight million, six hundred fifty-six thousand, eight hundred thirty-six".