8195445918 has 192 divisors, whose sum is σ = 21459816000. Its totient is φ = 2308331520.

The previous prime is 8195445889. The next prime is 8195445919.

8195445918 is a `hidden beast` number, since 8 + 1 + 9 + 5 + 44 + 591 + 8 = 666.

8195445918 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8195445919) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9885528 + ... + 9886356.

It is an arithmetic number, because the mean of its divisors is an integer number (111769875).

Almost surely, 2^8195445918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8195445918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10729908000).

8195445918 is an abundant number, since it is smaller than the sum of its proper divisors (13264370082).

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

8195445918 is a wasteful number, since it uses less digits than its factorization.

8195445918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 951 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 54.

The square root of 8195445918 is about 90528.7021778176. The cubic root of 8195445918 is about 2016.1562954576.

The spelling of 8195445918 in words is "eight billion, one hundred ninety-five million, four hundred forty-five thousand, nine hundred eighteen".