36001839602016 has 144 divisors (see below), whose sum is σ = 107799364436400. Its totient is φ = 11365763318784.

The previous prime is 36001839601999. The next prime is 36001839602017. The reversal of 36001839602016 is 61020693810063.

36001839602016 is a `hidden beast` number, since 3 + 6 + 0 + 0 + 1 + 8 + 39 + 602 + 0 + 1 + 6 = 666.

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

It is a super-2 number, since 2×36001839602016² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36001839602017) 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, 18309670 + ... + 20180378.

It is an arithmetic number, because the mean of its divisors is an integer number (748606697475).

Almost surely, 2^{36001839602016} is an apocalyptic number.

36001839602016 is a gapful number since it is divisible by the number (36) 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 36001839602016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53899682218200).

36001839602016 is an abundant number, since it is smaller than the sum of its proper divisors (71797524834384).

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

36001839602016 is a wasteful number, since it uses less digits than its factorization.

36001839602016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874261 (or 1874250 counting only the distinct ones).

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

The spelling of 36001839602016 in words is "thirty-six trillion, one billion, eight hundred thirty-nine million, six hundred two thousand, sixteen".