8180905356 has 108 divisors (see below), whose sum is σ = 22677389280. Its totient is φ = 2485192320.

The previous prime is 8180905339. The next prime is 8180905391. The reversal of 8180905356 is 6535090818.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 472126 + ... + 489146.

Almost surely, 2^8180905356 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 8180905356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11338694640).

8180905356 is an abundant number, since it is smaller than the sum of its proper divisors (14496483924).

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

8180905356 is a wasteful number, since it uses less digits than its factorization.

8180905356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17136 (or 17118 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 8180905356 is about 90448.3573980202. The cubic root of 8180905356 is about 2014.9632181978.

The spelling of 8180905356 in words is "eight billion, one hundred eighty million, nine hundred five thousand, three hundred fifty-six".