32148538566144 has 640 divisors, whose sum is σ = 115571802931200. Its totient is φ = 7669134950400.

The previous prime is 32148538566127. The next prime is 32148538566149. The reversal of 32148538566144 is 44166583584123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32148538566149) by changing a digit.

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, 305917129 + ... + 306022199.

It is an arithmetic number, because the mean of its divisors is an integer number (180580942080).

Almost surely, 2^{32148538566144} 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 32148538566144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57785901465600).

32148538566144 is an abundant number, since it is smaller than the sum of its proper divisors (83423264365056).

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

32148538566144 is a wasteful number, since it uses less digits than its factorization.

32148538566144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105322 (or 105306 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 60.

The spelling of 32148538566144 in words is "thirty-two trillion, one hundred forty-eight billion, five hundred thirty-eight million, five hundred sixty-six thousand, one hundred forty-four".