8172434816 has 192 divisors, whose sum is σ = 20599699680. Its totient is φ = 3200827392.

The previous prime is 8172434797. The next prime is 8172434821. The reversal of 8172434816 is 6184342718.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 9213125 + ... + 9214011.

Almost surely, 2^8172434816 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 8172434816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10299849840).

8172434816 is an abundant number, since it is smaller than the sum of its proper divisors (12427264864).

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

8172434816 is a wasteful number, since it uses less digits than its factorization.

8172434816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1022 counting only the distinct ones).

The product of its digits is 258048, while the sum is 44.

The square root of 8172434816 is about 90401.5199872215. The cubic root of 8172434816 is about 2014.2675445577.

The spelling of 8172434816 in words is "eight billion, one hundred seventy-two million, four hundred thirty-four thousand, eight hundred sixteen".