325144054001088 has 336 divisors, whose sum is σ = 1102111902228480. Its totient is φ = 89672173258752.

The previous prime is 325144054001051. The next prime is 325144054001153. The reversal of 325144054001088 is 880100450441523.

325144054001088 is a `hidden beast` number, since 3 + 2 + 5 + 14 + 4 + 0 + 540 + 0 + 10 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463502895 + ... + 464203857.

Almost surely, 2^{325144054001088} 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 325144054001088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551055951114240).

325144054001088 is an abundant number, since it is smaller than the sum of its proper divisors (776967848227392).

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

325144054001088 is a wasteful number, since it uses less digits than its factorization.

325144054001088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704984 (or 704971 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 325144054001088 in words is "three hundred twenty-five trillion, one hundred forty-four billion, fifty-four million, one thousand, eighty-eight".