8181169920 has 864 divisors, whose sum is σ = 36916798464. Its totient is φ = 1622016000.

The previous prime is 8181169831. The next prime is 8181169939. The reversal of 8181169920 is 299611818.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 20401720 + ... + 20402120.

It is an arithmetic number, because the mean of its divisors is an integer number (42727776).

Almost surely, 2^8181169920 is an apocalyptic number.

8181169920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8181169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18458399232).

8181169920 is an abundant number, since it is smaller than the sum of its proper divisors (28735628544).

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

8181169920 is a wasteful number, since it uses less digits than its factorization.

8181169920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The square root of 8181169920 is about 90449.8199003182. The cubic root of 8181169920 is about 2014.9849387352.

The spelling of 8181169920 in words is "eight billion, one hundred eighty-one million, one hundred sixty-nine thousand, nine hundred twenty".