2136404136384 has 1344 divisors, whose sum is σ = 7942551552000. Its totient is φ = 548132659200.

The previous prime is 2136404136337. The next prime is 2136404136389. The reversal of 2136404136384 is 4836314046312.

2136404136384 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 4 + 0 + 4 + 1 + 3 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136404136389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30090199069 + ... + 30090199139.

Almost surely, 2^{2136404136384} is an apocalyptic number.

2136404136384 is a gapful number since it is divisible by the number (24) 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 2136404136384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971275776000).

2136404136384 is an abundant number, since it is smaller than the sum of its proper divisors (5806147415616).

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

2136404136384 is an equidigital number, since it uses as much as digits as its factorization.

2136404136384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 2136404136384 in words is "two trillion, one hundred thirty-six billion, four hundred four million, one hundred thirty-six thousand, three hundred eighty-four".