32384920098048 has 576 divisors, whose sum is σ = 100340197300224. Its totient is φ = 9082368000000.

The previous prime is 32384920098029. The next prime is 32384920098059. The reversal of 32384920098048 is 84089002948323.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 32384920097982 and 32384920098000.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 39932083563 + ... + 39932084373.

It is an arithmetic number, because the mean of its divisors is an integer number (174201731424).

Almost surely, 2^{32384920098048} 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 32384920098048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50170098650112).

32384920098048 is an abundant number, since it is smaller than the sum of its proper divisors (67955277202176).

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

32384920098048 is a wasteful number, since it uses less digits than its factorization.

32384920098048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 60.

The spelling of 32384920098048 in words is "thirty-two trillion, three hundred eighty-four billion, nine hundred twenty million, ninety-eight thousand, forty-eight".