32973450551808 has 320 divisors, whose sum is σ = 95784949370880. Its totient is φ = 10018764177408.

The previous prime is 32973450551689. The next prime is 32973450551869. The reversal of 32973450551808 is 80815505437923.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5567015535 + ... + 5567021457.

It is an arithmetic number, because the mean of its divisors is an integer number (299327966784).

Almost surely, 2^{32973450551808} 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 32973450551808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47892474685440).

32973450551808 is an abundant number, since it is smaller than the sum of its proper divisors (62811498819072).

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

32973450551808 is a wasteful number, since it uses less digits than its factorization.

32973450551808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9399 (or 9383 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 60.

The spelling of 32973450551808 in words is "thirty-two trillion, nine hundred seventy-three billion, four hundred fifty million, five hundred fifty-one thousand, eight hundred eight".