1836396002016 has 144 divisors (see below), whose sum is σ = 5311466531280. Its totient is φ = 601754081280.

The previous prime is 1836396002003. The next prime is 1836396002017. The reversal of 1836396002016 is 6102006936381.

1836396002016 is a `hidden beast` number, since 1 + 8 + 3 + 6 + 3 + 9 + 600 + 20 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1836396002017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4227271 + ... + 4641401.

It is an arithmetic number, because the mean of its divisors is an integer number (36885184245).

Almost surely, 2^{1836396002016} is an apocalyptic number.

1836396002016 is a gapful number since it is divisible by the number (16) 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 1836396002016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655733265640).

1836396002016 is an abundant number, since it is smaller than the sum of its proper divisors (3475070529264).

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

1836396002016 is a wasteful number, since it uses less digits than its factorization.

1836396002016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414409 (or 414398 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 1836396002016 in words is "one trillion, eight hundred thirty-six billion, three hundred ninety-six million, two thousand, sixteen".