12819144195 has 192 divisors, whose sum is σ = 27403608960. Its totient is φ = 5457715200.

The previous prime is 12819144179. The next prime is 12819144197. The reversal of 12819144195 is 59144191821.

It is a happy number.

12819144195 is a `hidden beast` number, since 12 + 8 + 191 + 441 + 9 + 5 = 666.

It is not a de Polignac number, because 12819144195 - 2⁴ = 12819144179 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12819144195.

It is not an unprimeable number, because it can be changed into a prime (12819144197) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13622425 + ... + 13623365.

It is an arithmetic number, because the mean of its divisors is an integer number (142727130).

Almost surely, 2^12819144195 is an apocalyptic number.

12819144195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12819144195 is an abundant number, since it is smaller than the sum of its proper divisors (14584464765).

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

12819144195 is a wasteful number, since it uses less digits than its factorization.

12819144195 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1075 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The spelling of 12819144195 in words is "twelve billion, eight hundred nineteen million, one hundred forty-four thousand, one hundred ninety-five".