325646335872 has 1152 divisors, whose sum is σ = 1214435345760. Its totient is φ = 82966118400.

The previous prime is 325646335871. The next prime is 325646335873. The reversal of 325646335872 is 278533646523.

325646335872 is a `hidden beast` number, since 3 + 2 + 56 + 4 + 6 + 3 + 3 + 587 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (325646335871) and next prime (325646335873).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325646335871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10504720497 + ... + 10504720527.

Almost surely, 2^325646335872 is an apocalyptic number.

325646335872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325646335872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607217672880).

325646335872 is an abundant number, since it is smaller than the sum of its proper divisors (888789009888).

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

325646335872 is a wasteful number, since it uses less digits than its factorization.

325646335872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 77 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 54.

The spelling of 325646335872 in words is "three hundred twenty-five billion, six hundred forty-six million, three hundred thirty-five thousand, eight hundred seventy-two".