8109186048 has 396 divisors, whose sum is σ = 26107306992. Its totient is φ = 2508226560.

The previous prime is 8109186023. The next prime is 8109186091. The reversal of 8109186048 is 8406819018.

It is a super-2 number, since 2×8109186048² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8109185994 and 8109186012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 114213853 + ... + 114213923.

Almost surely, 2^8109186048 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 8109186048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13053653496).

8109186048 is an abundant number, since it is smaller than the sum of its proper divisors (17998120944).

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

8109186048 is an frugal number, since it uses more digits than its factorization.

8109186048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 8109186048 is about 90051.0191391524. The cubic root of 8109186048 is about 2009.0577539530.

The spelling of 8109186048 in words is "eight billion, one hundred nine million, one hundred eighty-six thousand, forty-eight".