325280567148768 has 1152 divisors, whose sum is σ = 1246364253388800. Its totient is φ = 77992085606400.

The previous prime is 325280567148751. The next prime is 325280567148769. The reversal of 325280567148768 is 867841765082523.

It is a happy number.

325280567148768 is a `hidden beast` number, since 3 + 2 + 5 + 2 + 80 + 5 + 6 + 7 + 1 + 487 + 68 = 666.

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 = 325280567148696 and 325280567148705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325280567148769) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1654608303 + ... + 1654804881.

It is an arithmetic number, because the mean of its divisors is an integer number (1081913414400).

Almost surely, 2^{325280567148768} 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 325280567148768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623182126694400).

325280567148768 is an abundant number, since it is smaller than the sum of its proper divisors (921083686240032).

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

325280567148768 is a wasteful number, since it uses less digits than its factorization.

325280567148768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196756 (or 196745 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 72.

The spelling of 325280567148768 in words is "three hundred twenty-five trillion, two hundred eighty billion, five hundred sixty-seven million, one hundred forty-eight thousand, seven hundred sixty-eight".