325763050604544 has 1152 divisors, whose sum is σ = 1131254141472000. Its totient is φ = 88346651000832.

The previous prime is 325763050604539. The next prime is 325763050604597. The reversal of 325763050604544 is 445406050367523.

325763050604544 is a `hidden beast` number, since 3 + 2 + 5 + 7 + 6 + 30 + 5 + 0 + 60 + 4 + 544 = 666.

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

It is a super-2 number, since 2×325763050604544² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92049461527 + ... + 92049465065.

It is an arithmetic number, because the mean of its divisors is an integer number (981991442250).

Almost surely, 2^{325763050604544} 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 325763050604544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565627070736000).

325763050604544 is an abundant number, since it is smaller than the sum of its proper divisors (805491090867456).

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

325763050604544 is a wasteful number, since it uses less digits than its factorization.

325763050604544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4013 (or 3990 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 54.

The spelling of 325763050604544 in words is "three hundred twenty-five trillion, seven hundred sixty-three billion, fifty million, six hundred four thousand, five hundred forty-four".