36212134605408 has 288 divisors, whose sum is σ = 114460794040320. Its totient is φ = 10807851479040.

The previous prime is 36212134605359. The next prime is 36212134605421. The reversal of 36212134605408 is 80450643121263.

36212134605408 is a `hidden beast` number, since 3 + 6 + 2 + 1 + 2 + 1 + 34 + 605 + 4 + 0 + 8 = 666.

36212134605408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×36212134605408² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6932841 + ... + 10976727.

It is an arithmetic number, because the mean of its divisors is an integer number (397433312640).

Almost surely, 2^{36212134605408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36212134605408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57230397020160).

36212134605408 is an abundant number, since it is smaller than the sum of its proper divisors (78248659434912).

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

36212134605408 is a wasteful number, since it uses less digits than its factorization.

36212134605408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044010 (or 4043999 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 36212134605408 in words is "thirty-six trillion, two hundred twelve billion, one hundred thirty-four million, six hundred five thousand, four hundred eight".