8469085374100 has 216 divisors, whose sum is σ = 20677274352728. Its totient is φ = 2990904652800.

The previous prime is 8469085374077. The next prime is 8469085374109. The reversal of 8469085374100 is 14735809648.

It can be written as a sum of positive squares in 12 ways, for example, as 1330174702224 + 7138910671876 = 1153332^2 + 2671874^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8469085374109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 167410810 + ... + 167461390.

Almost surely, 2^{8469085374100} 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 8469085374100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10338637176364).

8469085374100 is an abundant number, since it is smaller than the sum of its proper divisors (12208188978628).

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

8469085374100 is a wasteful number, since it uses less digits than its factorization.

8469085374100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50763 (or 50697 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 8469085374100 in words is "eight trillion, four hundred sixty-nine billion, eighty-five million, three hundred seventy-four thousand, one hundred".