80133398817408 has 320 divisors, whose sum is σ = 244491268772520. Its totient is φ = 26038404218880.

The previous prime is 80133398817389. The next prime is 80133398817431. The reversal of 80133398817408 is 80471889333108.

80133398817408 is a `hidden beast` number, since 8 + 0 + 133 + 3 + 9 + 88 + 17 + 408 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 74897393131584 + 5236005685824 = 8654328^2 + 2288232^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 525757660 + ... + 525910052.

Almost surely, 2^{80133398817408} 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 80133398817408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122245634386260).

80133398817408 is an abundant number, since it is smaller than the sum of its proper divisors (164357869955112).

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

80133398817408 is a wasteful number, since it uses less digits than its factorization.

80133398817408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153697 (or 153676 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 80133398817408 in words is "eighty trillion, one hundred thirty-three billion, three hundred ninety-eight million, eight hundred seventeen thousand, four hundred eight".