325562903347968 has 1728 divisors, whose sum is σ = 1192016649600000. Its totient is φ = 86899247677440.

The previous prime is 325562903347949. The next prime is 325562903348069. The reversal of 325562903347968 is 869743309265523.

325562903347968 is a `hidden beast` number, since 3 + 2 + 5 + 5 + 6 + 2 + 90 + 3 + 3 + 479 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 325562903347896 and 325562903347905.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 124784553448 + ... + 124784556056.

It is an arithmetic number, because the mean of its divisors is an integer number (689824450000).

Almost surely, 2^{325562903347968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325562903347968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596008324800000).

325562903347968 is an abundant number, since it is smaller than the sum of its proper divisors (866453746252032).

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

325562903347968 is a wasteful number, since it uses less digits than its factorization.

325562903347968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 1763596800, while the sum is 72.

The spelling of 325562903347968 in words is "three hundred twenty-five trillion, five hundred sixty-two billion, nine hundred three million, three hundred forty-seven thousand, nine hundred sixty-eight".