433348532468676 has 192 divisors, whose sum is σ = 1233061211934720. Its totient is φ = 130521887712000.

The previous prime is 433348532468627. The next prime is 433348532468713. The reversal of 433348532468676 is 676864235843334.

433348532468676 is a `hidden beast` number, since 4 + 3 + 3 + 3 + 4 + 8 + 532 + 4 + 6 + 86 + 7 + 6 = 666.

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 63 ways as a sum of consecutive naturals, for example, 3007809721 + ... + 3007953791.

It is an arithmetic number, because the mean of its divisors is an integer number (6422193812160).

Almost surely, 2^{433348532468676} 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 433348532468676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616530605967360).

433348532468676 is an abundant number, since it is smaller than the sum of its proper divisors (799712679466044).

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

433348532468676 is a wasteful number, since it uses less digits than its factorization.

433348532468676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159423 (or 159415 counting only the distinct ones).

The product of its digits is 5016453120, while the sum is 72.

The spelling of 433348532468676 in words is "four hundred thirty-three trillion, three hundred forty-eight billion, five hundred thirty-two million, four hundred sixty-eight thousand, six hundred seventy-six".