328521207523716 has 189 divisors, whose sum is σ = 876985357560501. Its totient is φ = 107632094493888.

The previous prime is 328521207523637. The next prime is 328521207523757. The reversal of 328521207523716 is 617325702125823.

The square root of 328521207523716 is 18125154.

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

328521207523716 is a `hidden beast` number, since 3 + 2 + 8 + 5 + 21 + 20 + 7 + 523 + 71 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 313904349283716 + 14616858240000 = 17717346^2 + 3823200^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 57746737800 + ... + 57746743488.

Almost surely, 2^{328521207523716} is an apocalyptic number.

328521207523716 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

328521207523716 is the 18125154-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328521207523716

328521207523716 is an abundant number, since it is smaller than the sum of its proper divisors (548464150036785).

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

328521207523716 is an frugal number, since it uses more digits than its factorization.

328521207523716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11518 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 328521207523716 in words is "three hundred twenty-eight trillion, five hundred twenty-one billion, two hundred seven million, five hundred twenty-three thousand, seven hundred sixteen".