361821819816 has 24 divisors (see below), whose sum is σ = 979934095530. Its totient is φ = 120607273248.

The previous prime is 361821819809. The next prime is 361821819839. The reversal of 361821819816 is 618918128163.

It is a happy number.

361821819816 is a `hidden beast` number, since 3 + 618 + 2 + 1 + 8 + 1 + 9 + 8 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 211006097316 + 150815722500 = 459354^2 + 388350^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2512651455 + ... + 2512651598.

Almost surely, 2^361821819816 is an apocalyptic number.

361821819816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

361821819816 is an abundant number, since it is smaller than the sum of its proper divisors (618112275714).

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

361821819816 is a wasteful number, since it uses less digits than its factorization.

361821819816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5025303065 (or 5025303058 counting only the distinct ones).

The product of its digits is 995328, while the sum is 54.

The spelling of 361821819816 in words is "three hundred sixty-one billion, eight hundred twenty-one million, eight hundred nineteen thousand, eight hundred sixteen".